Explanation Given: A motorboat travels 84 miles downstream with the current in 2 hours . Same distance against the current takes the motorboat 3 hours . Calculation: Step 1: Using variables in order to show unknown quantities. Let x is the boat’s average rate in still water. Let y is the current’s average rate. Step 2: A system equation should be written which may help model the problem’s conditions. As the motorboat travels with current its rate is increased and is expressed as x + y . As it travels against the current its rate is decreased and is expressed as x − y . The distance traveled is 84 miles in 2 hours with the current. It can be expressed as: 2 ( x + y ) = 84 Also, the distance traveled is 84 miles in 3 hours against the current. It can be expressed as: 3 ( x − y ) = 84 Step 3: To solve the system. 2 ( x + y ) = 84 …… (1) 3 ( x − y ) = 84 …… (2) Divide equation (1) by 2 , x + y = 42 …… (3) Divide equation (2) by 3 x − y = 28 …… (4) Adding equation (3) and (4), x + y + x − y = 42 + 28 2 x = 70 x = 70 2 x = 3

7th Edition

ISBN: 8220101539229

Author: Blitzer

Publisher: Pearson Education (US)

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Chapter 3.2, Problem 4CP

To determine

To calculate: The average rate of the boat in still water as well as the average rate of current motorboat travels 84 miles downstream with the current in 2 hours. Same distance against the current takes the motorboat 3 hours.

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Chapter 3.2, Problem 3CP

Chapter 3.2, Problem 5CP

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A boat moves 7 kilometers upstream in the same amount of time it moves 19 kilometers downstream. If the rate of the current is 5 kilometers per hour, find the rate of the boat in still water.

Chapter 3 Solutions

EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST

Ch. 3.1 - Check Point 1 Consider the system: Determine of...Ch. 3.1 - Check Point 2 Solve by graphing: Ch. 3.1 - Check Point 3 Solve by the substitution method: ...Ch. 3.1 - Check Point 4 Solve by the substitution...Ch. 3.1 - Check Point 5 Solve by the addition method:...Ch. 3.1 - Check Point 6 Solve by the addition method: Ch. 3.1 - Check Point 7 Solve by the addition method:...Ch. 3.1 - Check Point 8 Solve by the system:...Ch. 3.1 - Check Point 9 Solve the system: {x=4y85x20y=40.Ch. 3.1 - Fill in each blank so that the resulting...

Ch. 3.1 - Fill in each blank so that the resulting statement...Ch. 3.1 - Fill in each blank so that the resulting...Ch. 3.1 - Fill in each blank so that the resulting statement...Ch. 3.1 - Fill in each blank so that the resulting statement...Ch. 3.1 - Fill in each blank so that the resulting statement...Ch. 3.1 - Prob. 7CVC Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - In Exercises 724, solve each system by graphing....Ch. 3.1 - Prob. 14E Ch. 3.1 - In Exercises 7–24, solve each system by...Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - In Exercises 25–42, solve each system by the...Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.1 - Prob. 52E Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60E Ch. 3.1 - Prob. 61E Ch. 3.1 - Prob. 62E Ch. 3.1 - Prob. 63E Ch. 3.1 - Prob. 64E Ch. 3.1 - In Exercises 59–82, solve each system by the...Ch. 3.1 - In Exercises 59–82, solve each system by the...Ch. 3.1 - In Exercises 59–82, solve each system by the...Ch. 3.1 - In Exercises 59–82, solve each system by the...Ch. 3.1 - Prob. 69E Ch. 3.1 - Prob. 70E Ch. 3.1 - Prob. 71E Ch. 3.1 - Prob. 72E Ch. 3.1 - Prob. 73E Ch. 3.1 - Prob. 74E Ch. 3.1 - Prob. 75E Ch. 3.1 - Prob. 76E Ch. 3.1 - Prob. 77E Ch. 3.1 - Prob. 78E Ch. 3.1 - Prob. 79E Ch. 3.1 - Prob. 80E Ch. 3.1 - Prob. 81E Ch. 3.1 - Prob. 82E Ch. 3.1 - Prob. 83E Ch. 3.1 - Prob. 84E Ch. 3.1 - Prob. 85E Ch. 3.1 - Prob. 86E Ch. 3.1 - Prob. 87E Ch. 3.1 - Prob. 88E Ch. 3.1 - Prob. 89E Ch. 3.1 - Prob. 90E Ch. 3.1 - Prob. 91E Ch. 3.1 - Prob. 92E Ch. 3.1 - Although Social Security is a problem, same...Ch. 3.1 - Prob. 94E Ch. 3.1 - The bar graph shows the percentage of Americans...Ch. 3.1 - Prob. 96E Ch. 3.1 - Prob. 97E Ch. 3.1 - Prob. 98E Ch. 3.1 - Prob. 99E Ch. 3.1 - Prob. 100E Ch. 3.1 - Prob. 101E Ch. 3.1 - Prob. 102E Ch. 3.1 - Prob. 103E Ch. 3.1 - Explain how to solve a system of equations using...Ch. 3.1 - Prob. 105E Ch. 3.1 - Prob. 106E Ch. 3.1 - Prob. 107E Ch. 3.1 - Prob. 108E Ch. 3.1 - Prob. 109E Ch. 3.1 - Prob. 110E Ch. 3.1 - Prob. 111E Ch. 3.1 - Prob. 112E Ch. 3.1 - Prob. 113E Ch. 3.1 - Prob. 114E Ch. 3.1 - Prob. 115E Ch. 3.1 - Prob. 116E Ch. 3.1 - Prob. 117E Ch. 3.1 - Prob. 118E Ch. 3.1 - Prob. 119E Ch. 3.1 - Prob. 120E Ch. 3.1 - Prob. 121E Ch. 3.1 - Prob. 122E Ch. 3.1 - Prob. 123E Ch. 3.1 - Prob. 124E Ch. 3.1 - Prob. 125E Ch. 3.2 - Prob. 1CP Ch. 3.2 - Prob. 2CP Ch. 3.2 - Prob. 3CP Ch. 3.2 - Prob. 4CP Ch. 3.2 - Prob. 5CP Ch. 3.2 - Prob. 6CP Ch. 3.2 - Fill in each blank so that the resulting statement...Ch. 3.2 - Fill in each blank so that the resulting statement...Ch. 3.2 - Prob. 3CVC Ch. 3.2 - Fill in each blank so that the resulting statement...Ch. 3.2 - Fill in each blank so that the resulting statement...Ch. 3.2 - Prob. 6CVC Ch. 3.2 - Fill in each blank so that the resulting statement...Ch. 3.2 - Prob. 1E Ch. 3.2 - Prob. 2E Ch. 3.2 - Prob. 3E Ch. 3.2 - In Exercises 1–4, let x represent one number...Ch. 3.2 - Prob. 5E Ch. 3.2 - Prob. 6E Ch. 3.2 - In Exercises 5–8, cost and revenue functions for...Ch. 3.2 - Prob. 8E Ch. 3.2 - Prob. 9E Ch. 3.2 - Prob. 10E Ch. 3.2 - Prob. 11E Ch. 3.2 - Prob. 12E Ch. 3.2 - Prob. 13E Ch. 3.2 - Prob. 14E Ch. 3.2 - Prob. 15E Ch. 3.2 - Prob. 16E Ch. 3.2 - Prob. 17E Ch. 3.2 - Prob. 18E Ch. 3.2 - Prob. 19E Ch. 3.2 - In Exercises 940, use the four-step strategy to...Ch. 3.2 - Prob. 21E Ch. 3.2 - Prob. 22E Ch. 3.2 - Prob. 23E Ch. 3.2 - Prob. 24E Ch. 3.2 - Prob. 25E Ch. 3.2 - Prob. 26E Ch. 3.2 - Prob. 27E Ch. 3.2 - Prob. 28E Ch. 3.2 - Prob. 29E Ch. 3.2 - Prob. 30E Ch. 3.2 - Prob. 31E Ch. 3.2 - Prob. 32E Ch. 3.2 - Prob. 33E Ch. 3.2 - Prob. 34E Ch. 3.2 - Prob. 35E Ch. 3.2 - Prob. 36E Ch. 3.2 - In Exercises 9–40, use the four-step strategy...Ch. 3.2 - Prob. 38E Ch. 3.2 - Prob. 39E Ch. 3.2 - Prob. 40E Ch. 3.2 - Prob. 41E Ch. 3.2 - Prob. 42E Ch. 3.2 - Prob. 43E Ch. 3.2 - Prob. 44E Ch. 3.2 - Prob. 45E Ch. 3.2 - Prob. 46E Ch. 3.2 - Prob. 47E Ch. 3.2 - Prob. 48E Ch. 3.2 - Prob. 49E Ch. 3.2 - Prob. 50E Ch. 3.2 - Prob. 51E Ch. 3.2 - Prob. 52E Ch. 3.2 - Prob. 53E Ch. 3.2 - 54. Describe a cost function for a business...Ch. 3.2 - Prob. 55E Ch. 3.2 - Prob. 56E Ch. 3.2 - The law of supply and demand states that, in a...Ch. 3.2 - 58. Many students hate mixture problems and...Ch. 3.2 - In Exercises5960, graph the revenue and cost...Ch. 3.2 - Prob. 60E Ch. 3.2 - Prob. 61E Ch. 3.2 - Prob. 62E Ch. 3.2 - Make Sense? In Exercises 6265, determine whether...Ch. 3.2 - Make Sense? In Exercises 62–65, determine...Ch. 3.2 - Make Sense? In Exercises 62–65, determine...Ch. 3.2 - Prob. 66E Ch. 3.2 - Prob. 67E Ch. 3.2 - Prob. 68E Ch. 3.2 - Prob. 69E Ch. 3.2 - Prob. 70E Ch. 3.2 - Prob. 71E Ch. 3.2 - Prob. 72E Ch. 3.2 - Prob. 73E Ch. 3.2 - Prob. 74E Ch. 3.2 - Prob. 75E Ch. 3.2 - Prob. 76E Ch. 3.3 - Check Point 1 Show that the ordered triple (1, 4,...Ch. 3.3 - Check Point 2 Solve the system:...Ch. 3.3 - Check Point 3 Solve the system: Ch. 3.3 - Check Point 4 Find the quadratic function whose...Ch. 3.3 - Fill in each blank so that the resulting statement...Ch. 3.3 - 2. Consider the following system: We can...Ch. 3.3 - Consider the following system:...Ch. 3.3 - A function of the form y=ax2+bx+c,a0, is called...Ch. 3.3 - The process of determining a function whose graph...Ch. 3.3 - In Exercises 14 determine if the given ordered...Ch. 3.3 - In Exercises 1–4, determine if the given ordered...Ch. 3.3 - In Exercises 14, determine if the given ordered...Ch. 3.3 - In Exercises 1–4 determine if the given ordered...Ch. 3.3 - Solve each system n Exercises 522. It there no...Ch. 3.3 - Solve each system in Exercises 5–22. It there no...Ch. 3.3 - Solve each system in Exercises 522. It there no...Ch. 3.3 - Solve each system in Exercises 522. It there no...Ch. 3.3 - Solve each system in Exercises 5–22. It there no...Ch. 3.3 - Prob. 10E Ch. 3.3 - Prob. 11E Ch. 3.3 - Prob. 12E Ch. 3.3 - Prob. 13E Ch. 3.3 - Prob. 14E Ch. 3.3 - Prob. 15E Ch. 3.3 - Prob. 16E Ch. 3.3 - Prob. 17E Ch. 3.3 - Prob. 18E Ch. 3.3 - Prob. 19E Ch. 3.3 - Prob. 20E Ch. 3.3 - Prob. 21E Ch. 3.3 - Prob. 22E Ch. 3.3 - Prob. 23E Ch. 3.3 - Prob. 24E Ch. 3.3 - In Exercises 2326, find the quadratic function...Ch. 3.3 - In Exercises 2326, find the quadratic function...Ch. 3.3 - Prob. 27E Ch. 3.3 - Prob. 28E Ch. 3.3 - Prob. 29E Ch. 3.3 - Prob. 30E Ch. 3.3 - Prob. 31E Ch. 3.3 - Prob. 32E Ch. 3.3 - Prob. 33E Ch. 3.3 - Prob. 34E Ch. 3.3 - 35. The graph shows the percentage of U.S....Ch. 3.3 - Prob. 36E Ch. 3.3 - Prob. 37E Ch. 3.3 - Prob. 38E Ch. 3.3 - Prob. 39E Ch. 3.3 - Prob. 40E Ch. 3.3 - Prob. 41E Ch. 3.3 - In Exercises 39–48, use the four-step strategy...Ch. 3.3 - Prob. 43E Ch. 3.3 - Prob. 44E Ch. 3.3 - Prob. 45E Ch. 3.3 - Prob. 46E Ch. 3.3 - Explaining the Concepts What is a system of linear...Ch. 3.3 - Prob. 48E Ch. 3.3 - Prob. 49E Ch. 3.3 - Prob. 50E Ch. 3.3 - Explaining the Concepts 51. Describe what...Ch. 3.3 - Prob. 52E Ch. 3.3 - Prob. 53E Ch. 3.3 - Prob. 54E Ch. 3.3 - 55. A system of linear equations in three...Ch. 3.3 - Prob. 56E Ch. 3.3 - Because the percentage Of the U.S. population that...Ch. 3.3 - Prob. 58E Ch. 3.3 - Prob. 59E Ch. 3.3 - Prob. 60E Ch. 3.3 - Prob. 61E Ch. 3.3 - Prob. 62E Ch. 3.3 - Prob. 63E Ch. 3.3 - Prob. 64E Ch. 3.3 - In Exercises 6567, graph each linear function....Ch. 3.3 - In Exercises 6567, graph each linear function....Ch. 3.3 - In Exercises 6567, graph each linear function....Ch. 3.3 - Exercises 68–70 will help you prepare for the...Ch. 3.3 - Exercises 6870 will help you prepare for the...Ch. 3.3 - Exercises 68–70 will help you prepare for the...Ch. 3.3 - In Exercises 1−8, solve each system by the method...Ch. 3.3 - In Exercises 18, solve each system by the method...Ch. 3.3 - In Exercises 1−8, solve each system by the method...Ch. 3.3 - In Exercises 1 – 8, solve each system by the...Ch. 3.3 - In Exercises 1 8, solve each system by the method...Ch. 3.3 - Prob. 6MCCP Ch. 3.3 - Prob. 7MCCP Ch. 3.3 - Prob. 8MCCP Ch. 3.3 - Prob. 9MCCP Ch. 3.3 - Prob. 10MCCP Ch. 3.3 - Prob. 11MCCP Ch. 3.3 - Prob. 12MCCP Ch. 3.3 - Prob. 13MCCP Ch. 3.3 - Prob. 14MCCP Ch. 3.3 - Prob. 15MCCP Ch. 3.3 - Prob. 16MCCP Ch. 3.3 - In Exercises 12–18, solve each problem. 17. Find...Ch. 3.3 - Prob. 18MCCP Ch. 3.4 - Check Point 1 Use the matrix and perform each...Ch. 3.4 - Prob. 2CP Ch. 3.4 - Check Point 3 Use matrices to solve the...Ch. 3.4 - Fill in each blank so that the resulting...Ch. 3.4 - Fill in each blank so that the resulting...Ch. 3.4 - Fill in each blank so that the resulting...Ch. 3.4 - Fill in each blank so that the resulting statement...Ch. 3.4 - Fill in each blank so that the resulting statement...Ch. 3.4 - Fill in each blank so that the resulting statement...Ch. 3.4 - Fill in each blank so that the resulting...Ch. 3.4 - In Exercises 114, perform each matrix row...Ch. 3.4 - In Exercises 114, perform each matrix row...Ch. 3.4 - Prob. 3E Ch. 3.4 - Prob. 4E Ch. 3.4 - Prob. 5E Ch. 3.4 - Prob. 6E Ch. 3.4 - Prob. 7E Ch. 3.4 - Prob. 8E Ch. 3.4 - Prob. 9E Ch. 3.4 - Prob. 10E Ch. 3.4 - Prob. 11E Ch. 3.4 - Prob. 12E Ch. 3.4 - Prob. 13E Ch. 3.4 - Prob. 14E Ch. 3.4 - Prob. 15E Ch. 3.4 - Prob. 16E Ch. 3.4 - Prob. 17E Ch. 3.4 - Prob. 18E Ch. 3.4 - Prob. 19E Ch. 3.4 - Prob. 20E Ch. 3.4 - Prob. 21E Ch. 3.4 - Prob. 22E Ch. 3.4 - In Exercises 1538, solve each system us/ng...Ch. 3.4 - Prob. 24E Ch. 3.4 - Prob. 25E Ch. 3.4 - Prob. 26E Ch. 3.4 - Prob. 27E Ch. 3.4 - Prob. 28E Ch. 3.4 - Prob. 29E Ch. 3.4 - Prob. 30E Ch. 3.4 - Prob. 31E Ch. 3.4 - Prob. 32E Ch. 3.4 - In Exercises 1538, solve each system using...Ch. 3.4 - Prob. 34E Ch. 3.4 - Prob. 35E Ch. 3.4 - Prob. 36E Ch. 3.4 - Prob. 37E Ch. 3.4 - Prob. 38E Ch. 3.4 - Prob. 39E Ch. 3.4 - Prob. 40E Ch. 3.4 - Prob. 41E Ch. 3.4 - Prob. 42E Ch. 3.4 - Prob. 43E Ch. 3.4 - Prob. 44E Ch. 3.4 - Prob. 45E Ch. 3.4 - Prob. 46E Ch. 3.4 - Prob. 47E Ch. 3.4 - Prob. 48E Ch. 3.4 - Prob. 49E Ch. 3.4 - Prob. 50E Ch. 3.4 - Prob. 51E Ch. 3.4 - Prob. 52E Ch. 3.4 - Prob. 53E Ch. 3.4 - Prob. 54E Ch. 3.4 - Prob. 55E Ch. 3.4 - Prob. 56E Ch. 3.4 - A matrix with 1s down the main diagonal and 0s in...Ch. 3.4 - Prob. 58E Ch. 3.4 - Prob. 59E Ch. 3.4 - Prob. 60E Ch. 3.4 - Prob. 61E Ch. 3.4 - Prob. 62E Ch. 3.4 - Prob. 63E Ch. 3.4 - In Exercises 6265, determine whether each...Ch. 3.4 - In Exercises 62–65, determine whether each...Ch. 3.4 - Prob. 66E Ch. 3.4 - Prob. 67E Ch. 3.4 - Prob. 68E Ch. 3.4 - Prob. 69E Ch. 3.4 - Exercises 7072 will help you prepare for the...Ch. 3.4 - Prob. 71E Ch. 3.4 - Prob. 72E Ch. 3.5 - Prob. 1CP Ch. 3.5 - Prob. 2CP Ch. 3.5 - Prob. 3CP Ch. 3.5 - Prob. 4CP Ch. 3.5 - Prob. 1CVC Ch. 3.5 - Prob. 2CVC Ch. 3.5 - Prob. 3CVC Ch. 3.5 - Prob. 4CVC Ch. 3.5 - Prob. 1E Ch. 3.5 - Prob. 2E Ch. 3.5 - Prob. 3E Ch. 3.5 - Prob. 4E Ch. 3.5 - Prob. 5E Ch. 3.5 - Prob. 6E Ch. 3.5 - Prob. 7E Ch. 3.5 - Prob. 8E Ch. 3.5 - Prob. 9E Ch. 3.5 - Prob. 10E Ch. 3.5 - Prob. 11E Ch. 3.5 - Prob. 12E Ch. 3.5 - Prob. 13E Ch. 3.5 - Prob. 14E Ch. 3.5 - Prob. 15E Ch. 3.5 - Prob. 16E Ch. 3.5 - Prob. 17E Ch. 3.5 - Prob. 18E Ch. 3.5 - Prob. 19E Ch. 3.5 - Prob. 20E Ch. 3.5 - Prob. 21E Ch. 3.5 - Prob. 22E Ch. 3.5 - Prob. 23E Ch. 3.5 - Prob. 24E Ch. 3.5 - Prob. 25E Ch. 3.5 - Prob. 26E Ch. 3.5 - Prob. 27E Ch. 3.5 - Prob. 28E Ch. 3.5 - Prob. 29E Ch. 3.5 - Prob. 30E Ch. 3.5 - Prob. 31E Ch. 3.5 - Prob. 32E Ch. 3.5 - Prob. 33E Ch. 3.5 - Prob. 34E Ch. 3.5 - Prob. 35E Ch. 3.5 - Prob. 36E Ch. 3.5 - Prob. 37E Ch. 3.5 - Prob. 38E Ch. 3.5 - Prob. 39E Ch. 3.5 - Prob. 40E Ch. 3.5 - Prob. 41E Ch. 3.5 - Prob. 42E Ch. 3.5 - Prob. 43E Ch. 3.5 - Prob. 44E Ch. 3.5 - Prob. 45E Ch. 3.5 - Prob. 46E Ch. 3.5 - Prob. 47E Ch. 3.5 - Prob. 48E Ch. 3.5 - Prob. 49E Ch. 3.5 - Prob. 50E Ch. 3.5 - Prob. 51E Ch. 3.5 - Prob. 52E Ch. 3.5 - Prob. 53E Ch. 3.5 - Prob. 54E Ch. 3.5 - Prob. 55E Ch. 3.5 - Prob. 56E Ch. 3.5 - Prob. 57E Ch. 3.5 - Prob. 58E Ch. 3.5 - Prob. 59E Ch. 3.5 - Prob. 60E Ch. 3.5 - The process of solving a liner system in three...Ch. 3.5 - Prob. 62E Ch. 3.5 - Prob. 63E Ch. 3.5 - Prob. 64E Ch. 3.5 - Prob. 65E Ch. 3.5 - Make Sense? 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The average rate of the boat in still water as well as the average rate of current motorboat travels 84 miles downstream with the current in 2 hours . Same distance against the current takes the motorboat 3 hours .

Solution Summary: The author calculates the motorboat's average rate in still water and its current rate against the current, using variables to show unknown quantities.

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To calculate: The average rate of the boat in still water as well as the average rate of current motorboat travels 84 miles downstream with the current in 2 hours. Same distance against the current takes the motorboat 3 hours.

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Chapter 3 Solutions