In going from Chicago to Atlanta, a car averages 45 miles per hour, and in going from Atlanta to Miami, it averages 55 miles per hour. If Atlanta is halfway between Chicago and Miami, what is the average speed from Chicago to Miami? Discuss an intuitive solution. Write a paragraph defending your intuitive solution. Then solve the problem algebraically. Is your intuitive solution the same as the algebraic one? If not, find the flaw.

Q: Jack and Diane are jogging back and forth along a one-mile path. They started out at 9:00 A.M. from…

A: Let us consider the above diagram - Let Jack is at point A and Diane is at point B. Given that after…

Q: Suppose you are going on a trip and need to choose between two car rental companies. Company 1…

A: topic - linear function

Q: Finbar bought his home for $150,000 in 2010. Property values have increased 10% every year since he…

A: Given, in 2010 Finbar bought his home $150,000 property value increase 10% every year, To find the…

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A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: The cost of renting a car is $42$42/week plus $0.25$0.25/mile traveled during that week. An equation…

A:

Q: Chelsea believes that her score on an upcoming test can be modeled by the equation y = 7.3x + 61…

A: Solution: Let x be the number of hours spent studying and y be the Chelsea’s test score. From the…

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A: Let the speed of the trains be x and (x+15), miles per hour. We now that distance traveled =speed…

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A:

Q: Suppose the ratio of the number of hours a restaurant is opened to the number of daily customers it…

A:

Q: A landscaping company is delivering crushed stone to a construction site.  The table shows the total…

A: Given We have to take two points (0,0) ,  (1,3000)

Q: e same time that Dana is 5 mph more than Da

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Q: Suppose we want to predict harassment frequency (Y) based on annual salary (X) of women and get the…

A: We have given that Regression equation Y = -1X +62.67 We have to find the predicted value when X= 29…

Q: A boat travels at a constant speed on a river whose current also has a constant speed. The boat can…

A: Let the speed of boat be  X and speed of current be Y.

Q: The quantity a varies jointly with b, c, and d When b = 6, c = -2, and d = 7, a = 84. Find a when b…

A: to find:- value of a.

Q: Kara and Michelle made the same amount of money one day. Each earned a base pay plus a certain…

A: Topic- linear equations

Q: In Phoenix, rental of a U-Haul 24-foot moving truck for 6 hours costs $39.95 plus $0.56 per mile.…

A: Consider the given question,(a)Let x represent the number of miles driven.Given 24-foot moving truck…

Q: During one month, the cost for renting a car in Mobile, Alabama was $68.22 per day plus 25 cents per…

A: The general form of the regression equation is, y = a+bx Where 'y' is the response variable, 'a' is…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.