3. You need to rent a car and compare the charges of three different companies. Company A charges 20 cents per mile plus $20 per day. Company B charges 10 cents per mile plus $35 per day. Company C charges $70 per day with no mileage charge. Find formulas for the cost of driving cars rented from companies A, B, and C, in terms of x, the distance driven in miles in one day. b. Interpret the slopes and vertical intercepts of each function in economic terms. c. Graph the functions on your calculator. What is an appropriate viewing window (give xmin, xmax, ymin, and ymax)? d. Use your graphs in part c) to find under what circumstances Company A is cheapest. Use interval notation to express your answer. What about Company B? Company C? Explain why your results make sense. а.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.CT: Test
Problem 19CT
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3. You need to rent a car and compare the charges of three different companies. Company A charges
20 cents per mile plus $20 per day. Company B charges 10 cents per mile plus $35 per day.
Company C charges $70 per day with no mileage charge.
Find formulas for the cost of driving cars rented from companies A, B, and C, in terms of x,
the distance driven in miles in one day.
b. Interpret the slopes and vertical intercepts of each function in economic terms.
c. Graph the functions on your calculator. What is an appropriate viewing window (give xmin,
xmax, ymin, and ymax)?
d. Use your graphs in part c) to find under what circumstances Company A is cheapest. Use
interval notation to express your answer. What about Company B? Company C? Explain why
your results make sense.
а.
Transcribed Image Text:3. You need to rent a car and compare the charges of three different companies. Company A charges 20 cents per mile plus $20 per day. Company B charges 10 cents per mile plus $35 per day. Company C charges $70 per day with no mileage charge. Find formulas for the cost of driving cars rented from companies A, B, and C, in terms of x, the distance driven in miles in one day. b. Interpret the slopes and vertical intercepts of each function in economic terms. c. Graph the functions on your calculator. What is an appropriate viewing window (give xmin, xmax, ymin, and ymax)? d. Use your graphs in part c) to find under what circumstances Company A is cheapest. Use interval notation to express your answer. What about Company B? Company C? Explain why your results make sense. а.
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