Question

Amelia can spend no more than $89 to rent a car for a day trip a rental cost $35 per day plus $.20 per mile right and solve an inequality to find the possible distance in miles M that amelia can drive without exceeding her budget

Answer 1

The possible distance in miles that Amelia can drive without exceeding her budget is 270 miles

Explanation:

Given:

Amelia's budget for renting a car for a day trip = $ 89

Rental cost = $35

cost per mile = $0.20

To Find:

The possible distance in miles that Amelia can drive without exceeding her budget = ?

Solution:

Let M be the number of miles

The equation representing the situation can be

Total budget less than or equal to rental + (number of mile x cost per mile)

That is

`89 \leq 35 +(0.20 * M)`

Solving for M, we get

`89-35 \leq 0.20 M\\`

`54 \leq 0.20M\\`

`M \leq (54)/(0.20)`

`M \leq 270`