Question

The cost of a car rental is ​$37 per day plus 20 cents per mile. You are on a daily budget of ​$95. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget.

Answer 1

Answer:

I. 37+0.2m≤95

II. The greatest Distance you can drive each day is 290 miles.

Step-by-step explanation:

The cost of a car rental is ​$37 per day plus 20 cents per mile.

Let the number of miles driven be represented by m.

Therefore costs of miles driven

=20 cents X m =$0.2 X m= $0.2m

Total Cost Per day= Rental Cost + Cost of Miles Driven = 37+0.2m

Since the daily budget is $95, the total cost must be less than or equal to $95.

That is,

37+0.2m≤95.....(I)

This is the inequality that represents the greatest distance possible.

Next, we solve for m

37+0.2m≤95

0.2m≤95-37

0.2m≤58

m≤58/0.2

m≤290

The greatest Distance you can drive each day is 290 miles.