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You need to rent a car and compare the charges of three different companies. Company A charges 5 cents per mile plus 21 dollars per day. Company B charges 28 dollars per day with no mileage charge. Company C charges 15 cents per mile plus 11 dollars per day. (a) Find formulas for the cost, in dollars, of driving cars rented from companies A, B, and C, in terms of x, the distance driven in miles in one day. YA = YB = Yc = (b) Graph all three functions on the same set of axes for 0 (c) Complete the boxes to report under what circumstances each company is the cheapest, assuming the maximum number of miles driven is 500. Company A is cheapest if you drive between Number and Number miles. Company B is cheapest if you drive between Number and Number miles. Company C is cheapest if you drive between Number and Number miles.

You need to rent a car and compare the charges of three different companies. Company A charges 5 cents per mile plus 21 dollars per day. Company B charges 28 dollars per day with no mileage charge. Company C charges 15 cents per mile plus 11 dollars per day. (a) Find formulas for the cost, in dollars, of driving cars rented from companies A, B, and C, in terms of x, the distance driven in miles in one day. YA = YB = Yc = (b) Graph all three functions on the same set of axes for 0 (c) Complete the boxes to report under what circumstances each company is the cheapest, assuming the maximum number of miles driven is 500. Company A is cheapest if you drive between Number and Number miles. Company B is cheapest if you drive between Number and Number miles. Company C is cheapest if you drive between Number and Number miles.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.8: Rate-time-distance Problems
Problem 1OE
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You need to rent a car and compare the charges of three different companies. Company A charges 5 cents per mile plus 21 dollars per day. Company B charges 28 dollars per day with no mileage charge. Company C charges 15 cents per mile plus 11 dollars per day. (a) Find formulas for the cost, in dollars, of driving cars rented from companies A, B, and C, in terms of x, the distance driven in miles in one day. YA = YB = Yc = (b) Graph all three functions on the same set of axes for 0<x < 500. i) Use pull-down menus to report which agency corresponds to which graph. ii) Report the x-coordinates of the two marked intersection points in the answer boxes below. (Enter the values under each dashed line. The figure is not to scale.) y, cost ($) Click for List Click for List Click for List 500 Complete> (c) Complete the boxes to report under what circumstances each company is the cheapest, assuming the maximum number of miles driven is 500. Company A is cheapest if you drive between Number and Number miles. Company B is cheapest if you drive between Number and Number miles. Company C is cheapest if you drive between Number and Number miles.
Transcribed Image Text:You need to rent a car and compare the charges of three different companies. Company A charges 5 cents per mile plus 21 dollars per day. Company B charges 28 dollars per day with no mileage charge. Company C charges 15 cents per mile plus 11 dollars per day. (a) Find formulas for the cost, in dollars, of driving cars rented from companies A, B, and C, in terms of x, the distance driven in miles in one day. YA = YB = Yc = (b) Graph all three functions on the same set of axes for 0<x < 500. i) Use pull-down menus to report which agency corresponds to which graph. ii) Report the x-coordinates of the two marked intersection points in the answer boxes below. (Enter the values under each dashed line. The figure is not to scale.) y, cost ($) Click for List Click for List Click for List 500 Complete> (c) Complete the boxes to report under what circumstances each company is the cheapest, assuming the maximum number of miles driven is 500. Company A is cheapest if you drive between Number and Number miles. Company B is cheapest if you drive between Number and Number miles. Company C is cheapest if you drive between Number and Number miles.
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