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Math Mathematics All Around (6th Edition)

Use the elimination method in Exercises 55 – 58 to find an equilibrium point for the described supply-demand situation. You may assume that the supply and demand equations are both linear. Supply and demand-tutoring. A tutoring service provides tutoring for a fee. When the tutoring service charges $ 8 / hour , there is a demand for 30 tutors per week. When the hourly rate rises to $ 15 / hour , the demand drops to 9 tutors per week. On the other hand, at $ 8 / hour , the service is able to supply only 9 tutors per week, whereas at the rate of $ 15 / hour , it is able to provide 37 tutors per week. Find the price per hour at which the number of tutors demanded and the number of tutors supplied will be equal.

Use the elimination method in Exercises 55 – 58 to find an equilibrium point for the described supply-demand situation. You may assume that the supply and demand equations are both linear. Supply and demand-tutoring. A tutoring service provides tutoring for a fee. When the tutoring service charges $ 8 / hour , there is a demand for 30 tutors per week. When the hourly rate rises to $ 15 / hour , the demand drops to 9 tutors per week. On the other hand, at $ 8 / hour , the service is able to supply only 9 tutors per week, whereas at the rate of $ 15 / hour , it is able to provide 37 tutors per week. Find the price per hour at which the number of tutors demanded and the number of tutors supplied will be equal.

Solution Summary: The author explains that the system of equations can be solved using Elimination method through the following steps: Decide on the unknown to be eliminated first.

Mathematics All Around (6th Edition)

Mathematics All Around (6th Edition)

6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

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Textbook Question

Chapter 7.6, Problem 55E

Use the elimination method in Exercises 55 – 58 to find an equilibrium point for the described supply-demand situation. You may assume that the supply and demand equations are both linear.

Supply and demand-tutoring. A tutoring service provides tutoring for a fee. When the tutoring service charges $ 8 / hour , there is a demand for 30 tutors per week. When the hourly rate rises to $ 15 / hour , the demand drops to 9 tutors per week. On the other hand, at $ 8 / hour , the service is able to supply only 9 tutors per week, whereas at the rate of $ 15 / hour , it is able to provide 37 tutors per week. Find the price per hour at which the number of tutors demanded and the number of tutors supplied will be equal.

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Chapter 7.6, Problem 54E

Chapter 7.6, Problem 56E

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Chapter 7 Solutions

Mathematics All Around (6th Edition)

Ch. 7.1 - Solve each equation by using the rules for...Ch. 7.1 - Solve each equation by using the rules for...Ch. 7.1 - Solve each equation by using the rules for...Ch. 7.1 - Solve each equation by using the rules for...Ch. 7.1 - Solve each equation by using the rules for...Ch. 7.1 - Solve each equation by using the rules for...Ch. 7.1 - Solve each equation by using the rules for...Ch. 7.1 - Solve each equation by using the rules for...Ch. 7.1 - Solve each equation for the stated variable....Ch. 7.1 - Solve each equation for the stated variable....

Ch. 7.1 - Solve each equation for the stated variable. z=x;...Ch. 7.1 - Solve each equation for the stated variable. z=x;...Ch. 7.1 - Solve each equation for the stated variable....Ch. 7.1 - Solve each equation for the stated variable....Ch. 7.1 - Solve each equation for the stated variable....Ch. 7.1 - Solve each equation for the stated variable....Ch. 7.1 - Solve each equation for the stated variable....Ch. 7.1 - Solve each equation for the stated variable....Ch. 7.1 - Solve each equation for the stated variable....Ch. 7.1 - Solve each equation for the stated variable....Ch. 7.1 - Graph each equation by first finding the x- and...Ch. 7.1 - Prob. 22E Ch. 7.1 - Graph each equation by first finding the x- and...Ch. 7.1 - Prob. 24E Ch. 7.1 - Graph each equation by first finding the x- and...Ch. 7.1 - Prob. 26E Ch. 7.1 - Graph each equation by first finding the x- and...Ch. 7.1 - Graph each equation by first finding the x- and...Ch. 7.1 - Graph each equation by first finding the x- and...Ch. 7.1 - Graph each equation by first finding the x- and...Ch. 7.1 - Graph each equation by first finding the x- and...Ch. 7.1 - Prob. 32E Ch. 7.1 - In the given graph call the x-intercept of each...Ch. 7.1 - Prob. 34E Ch. 7.1 - In the given graph call the x-intercept of each...Ch. 7.1 - Prob. 36E Ch. 7.1 - Find the slope of the line passing through the two...Ch. 7.1 - Find the slope of the line passing through the two...Ch. 7.1 - Find the slope of the line passing through the two...Ch. 7.1 - Find the slope of the line passing through the two...Ch. 7.1 - Find the slope of the line passing through the two...Ch. 7.1 - Find the slope of the line passing through the two...Ch. 7.1 - Prob. 43E Ch. 7.1 - In Exercises 43 46, list all the lines in the...Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - In Exercises 49 52, state the y-intercept and...Ch. 7.1 - In Exercises 49 52, state the y-intercept and...Ch. 7.1 - In Exercises 49 52, state the y-intercept and...Ch. 7.1 - In Exercises 49 52, state the y-intercept and...Ch. 7.1 - To solve Exercises 53 56, first write an equation...Ch. 7.1 - To solve Exercises 53 56, first write an equation...Ch. 7.1 - To solve Exercises 53 56, first write an equation...Ch. 7.1 - Prob. 56E Ch. 7.1 - According to the U.S. Census Bureau, there were 80...Ch. 7.1 - According to the U.S. Census Bureau, there were 80...Ch. 7.1 - According to the U.S. Census Bureau, there were 80...Ch. 7.1 - According to the U.S. Census Bureau, there were 80...Ch. 7.1 - Prob. 61E Ch. 7.1 - Prob. 62E Ch. 7.1 - Prob. 63E Ch. 7.1 - The Higher Education Price Index graphs show the...Ch. 7.1 - In 2015, the revenue for Starbucks was 19.16...Ch. 7.1 - Repeat Exercise 65 for Amazon, using the fact that...Ch. 7.1 - The Wall Street Journal reports that students...Ch. 7.1 - Use your model in Exercise 67 to estimate what the...Ch. 7.1 - In Exercises 69 74, write an equation that models...Ch. 7.1 - In Exercises 69 74, write an equation that models...Ch. 7.1 - In Exercises 69 74, write an equation that models...Ch. 7.1 - In Exercises 69 74, write an equation that models...Ch. 7.1 - In Exercises 69 74, write an equation that models...Ch. 7.1 - In Exercises 69 74, write an equation that models...Ch. 7.1 - Comparing commuting costs. 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Solve the systems of...Ch. 7.6 - Prob. 77E Ch. 7.6 - We can have more than two inequalities in a...Ch. 7.6 - Prob. 79E Ch. 7.6 - We can have more than two inequalities in a...Ch. 7.6 - Prob. 81E Ch. 7.6 - In Exercises 82 85 , use the graph to write a...Ch. 7.6 - In Exercises 82 85 , use the graph to write a...Ch. 7.6 - In Exercises 82 85 , use the graph to write a...Ch. 7.6 - In Exercises 82 85 , use the graph to write a...Ch. 7.7 - Sharpening Your Skills For each dynamical system,...Ch. 7.7 - Sharpening Your Skills For each dynamical system,...Ch. 7.7 - Sharpening Your Skills For each dynamical system,...Ch. 7.7 - Sharpening Your Skills For each dynamical system,...Ch. 7.7 - Sharpening Your Skills For each dynamical system,...Ch. 7.7 - Sharpening Your Skills For each dynamical system,...Ch. 7.7 - Prob. 7E Ch. 7.7 - Find the equilibrium value for each dynamical...Ch. 7.7 - Find the equilibrium value for each dynamical...Ch. 7.7 - Find the equilibrium value for each dynamical...Ch. 7.7 - Applying What Youve Learned Model each situation...Ch. 7.7 - Applying What Youve Learned Model each situation...Ch. 7.7 - Applying What Youve Learned Model each situation...Ch. 7.7 - Applying What Youve Learned Model each situation...Ch. 7.7 - Applying What Youve Learned Model each situation...Ch. 7.7 - Applying What Youve Learned Model each situation...Ch. 7.7 - Applying What Youve Learned Model each situation...Ch. 7.7 - Applying What Youve Learned Model each situation...Ch. 7.7 - Communicating Mathematics What do we mean when we...Ch. 7.7 - Communicating Mathematics What is an equilibrium...Ch. 7.7 - Communicating Mathematics If a is an equilibrium...Ch. 7.7 - Communicating Mathematics Explain the butterfly...Ch. 7.7 - Challenge Yourself Living plants and animals all...Ch. 7.7 - Challenge Yourself Living plants and animals all...Ch. 7.7 - Radioactive material decays over time and the...Ch. 7.7 - Radioactive material decays over time and the...Ch. 7.7 - Assume that the logistic equation Pn+1=1+r1-PnPn...Ch. 7.7 - Assume that the logistic equation Pn+1=1+r1-PnPn...Ch. 7.CR - Solve the following equations: a. 23x+2=16x+4 b....Ch. 7.CR - Prob. 2CR Ch. 7.CR - Darryl works at a warehouse job where he is paid 5...Ch. 7.CR - Prob. 4CR Ch. 7.CR - Prob. 5CR Ch. 7.CR - Prob. 6CR Ch. 7.CR - Prob. 7CR Ch. 7.CR - Find an equation of the line with slope -4 that...Ch. 7.CR - Prob. 9CR Ch. 7.CR - According to the American Time Use Survey in 2005,...Ch. 7.CR - Prob. 11CR Ch. 7.CR - Prob. 12CR Ch. 7.CR - Prob. 13CR Ch. 7.CR - Chapter Review Exercises Section 7.3 Answer the...Ch. 7.CR - Prob. 15CR Ch. 7.CR - Prob. 16CR Ch. 7.CR - Chapter Review Exercises Section 7.4 If 10,000 is...Ch. 7.CR - Prob. 18CR Ch. 7.CR - Chapter Review Exercises Section 7.4 Assume that a...Ch. 7.CR - Chapter Review Exercises Section 7.4 Assume that a...Ch. 7.CR - Chapter Review Exercises Section 7.4 What is the...Ch. 7.CR - Chapter Review Exercises Section 7.5 Solve for x...Ch. 7.CR - Prob. 23CR Ch. 7.CR - Chapter Review Exercises Section 7.5 Marine...Ch. 7.CR - Chapter Review Exercises Section 7.5 Assume that y...Ch. 7.CR - Chapter Review Exercises Section 7.5 Assume that d...Ch. 7.CR - Chapter Review Exercises Section 7.5 The strength...Ch. 7.CR - Chapter Review Exercises Section 7.6 In Exercises...Ch. 7.CR - Chapter Review Exercises Section 7.6 In Exercises...Ch. 7.CR - Chapter Review Exercises Section 7.6 In Exercises...Ch. 7.CR - Chapter Review Exercises Section 7.6 The U.S....Ch. 7.CR - Last month, Carmen had five Big Macs and three...Ch. 7.CR - West Central State College is making holiday...Ch. 7.CR - Use the one-point test to solve 6x+5y20. Shade the...Ch. 7.CR - Solve the system 2x+5y24, 2y2x+18. Find all corner...Ch. 7.CR - Chapter Review Exercises Section 7.6 The art club...Ch. 7.CR - Calculate A1,A2,A3 for the dynamical system...Ch. 7.CR - Prob. 38CR Ch. 7.CR - Chapter Review Exercises Section 7.7 You are...Ch. 7.CT - Solve the following equations: a. 34x+5=23x+4 b....Ch. 7.CT - Solve X=a(1+b) for b.Ch. 7.CT - Prob. 3CT Ch. 7.CT - Prob. 4CT Ch. 7.CT - Brandon subscribes to a cell phone plan that...Ch. 7.CT - Assume that a Wilson mini-autographed basketball...Ch. 7.CT - Match the terms in the left column with those in...Ch. 7.CT - Wilfredo is considering two coffee-club plans....Ch. 7.CT - What is the key difference between a linear model...Ch. 7.CT - Find an equation of the line that passes through...Ch. 7.CT - Model the following situation with a linear...Ch. 7.CT - What is linear regression?Ch. 7.CT - There were 46.7 million people living in poverty...Ch. 7.CT - Prob. 14CT Ch. 7.CT - Prob. 15CT Ch. 7.CT - Prob. 16CT Ch. 7.CT - Prob. 17CT Ch. 7.CT - Prob. 18CT Ch. 7.CT - Prob. 19CT Ch. 7.CT - Prob. 20CT Ch. 7.CT - Prob. 21CT Ch. 7.CT - Prob. 22CT Ch. 7.CT - Prob. 23CT Ch. 7.CT - Prob. 24CT Ch. 7.CT - Prob. 25CT Ch. 7.CT - Census takers are using the capture-recapture...Ch. 7.CT - Shandra works in a fast-food restaurant for 11.75...Ch. 7.CT - Krispy Kreme has found that if it prices a box of...Ch. 7.CT - Use the one-point test to solve 4x3y8. Shade the...Ch. 7.CT - If the pitcher Cliff Lee gets 4 hits in his first...Ch. 7.CT - Solve the system x+y142x5y145x2y7. Find all corner...Ch. 7.CT - The strength of a beam varies directly as the...Ch. 7.CT - Assume that y varies inversely as x. If y=8 when...Ch. 7.CT - Assume that s varies jointly as x and y and...Ch. 7.CT - Mickal sells decorative inlaid wood boxes as...

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