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".
