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Question 1

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 480 mi and in June her cost was $460 for 880 mi. Assume that there is a linear relationship between the monthly cost C of driving a car and the distance x driven. (a) Find a linear function C that models the cost of driving x miles per month. C (x) = (b) Draw a graph of C. C 600 600- 500 500 400 400 300 300 200 200 100 100 - X O 200 400 600 800 1000 1200 1400 200 400 600 800 1000 1200 1400 - X C 600 600 500 500 400 400 300 300 200 200 100 100 200 400 600 800 1000 1200 1400 - X 200 400 600 800 1000 1200 1400 What is the slope of this line? (c) At what rate does Lynn's cost increase for every additional mile she drives? per miThe amount of trash in a county landfill is modeled by the function T(x) = 170x + 33,000 where x is the number of years since 1996 and 7(x) is measured in thousands of tons. (a) Sketch a graph of T. y 40000 40000 38000 38000 36000 36000 34000 34000 32000 32000 O 5 10 20 25 30 35 - X 5 15 20 25 30 35 - X y y 40000 40000 38000 38000 36000 36000 34000 34000 32000 32000 5 10 15 20 25 - X 30 35 O 5 10 15 20 25 30 35 X (b) What is the slope of the graph? (c) At what rate is the amount of trash in the landfill increasing per year? thousand tons per year