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.