Question

son 11 Name Write Equations for Proportional Relationships Study the example showing how to identify a proportional relationship. Then solve problems 1-9. Example The table shows the relationship between the money that Leo earns and the number of lawns that he mows. Is the relationship proportional? The ratios of the money earned to the number of lawns all simplify to y, or 5, so the relationship is proportional. Graph the relationship between the money earmed and the number of lawns and connect the points. How does the graph tell you that the relationship is proportional? The line is shagnt ands 35 10 25 tothes the agn What does the ratio 후 represent in terms of the example? 5 to icu loun 012 345 6789 Number of Lawns How can you use the graph to find the constant of proportionality? What is the constant of proportionality? Use the constant of proportionality to write an equation that represents the ampunt mowingxlawns. g- of money earned, y, for 5 If you know the constant of proportionality, m, for two proportional quantities, x and y, what equation can you write to describe the relationship? CCurriculum Associates, LLC Copying is not permitted. Lesson 11 Equations for Proportional Relationships 107 Solve. Nila uses the equation c- 8h to figure out the total amount c she should charge a customer if she babysits for h hours. Find the constant of proportionality and explain what it means Use the information in problem 6 to solve this problem. Nila decides to increase the rate she charges customers by $2 per hour. What equation should she now use to determine how much to charge her customers? Explain. 8 The table shows the cost of several bunches of bananas. Number of What equation can be used to represent the cost c of a bunch that weighs p pounds? Show your work 105 147168 1 Solution 9 The graph shows the relationship between the distance that Dustin can drive his car and the amount of gas needed for that distance. Explain how Dustin can use the graph to predict the number of gallons of gas he will need for a trip of 120 miles. Then find the amount of gas he will need. 40 35 30 25 20 15 10 Show your work. 0 05 1 15 2 Gas (gal) Solution 108 Lesson 11 Equations for Proportional Relationships OCurriculum Associates, LLC Copying is not permitted

Answer 1

By the HOMEWORKLIB RULES we can answer first question or first 4 sub parts of the question