Q:

mike rented a car. he drove 30 miles and the fee was $22.50. Ben rented a car from the same establishment . he drove 50 miles and his fee was $31.50 how much does it cost to travel 7 miles in a cab?

Accepted Solution

A:
Answer:Step-by-step explanation:For this problem, the cost for renting a car is based on a flat rate of $/mile You need to know that the rate = cost/distance   (a)  That expression can be rearranged by multiplying both sides by distance:  rate • distance = cost The cost (y) =  the rate ($/mile) times the distance driven (x):   y ($) = rate ($/mi) • x (mi) with the units in ( ) You are given information to calculate the rate for two drivers: For Mike, x = 30 miles and the cost = $22.50, and rate = cost/distance                                                                             rate = $22.50 / 30 miles  =  $0.75/mile For Ben, x = 50 miles and the cost is $31.50;  rate = $31.50 / 50 miles = $0.63 Ben pays a lower rate than Mike. (b) for Mike's travel:       rearrange the equation cost =  rate • distance to solve for distance by dividing both sides by rate:       cost / rate = distance • rate / rate         rewriting, distance = cost / rate = $21.00/($0.75/mile) = 28 miles (c) You may have missed part of this question.  Parts (c) and (d) questions make no sense since there is no information given for a "cab".