Answer:
The possible distance in miles that Amelia can drive without exceeding her budget is 270 miles
Step-by-step 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
[tex]89 \leq 35 +(0.20 \times M)[/tex]
Solving for M, we get
[tex]89-35 \leq 0.20 M\\[/tex]
[tex]54 \leq 0.20M\\[/tex]
[tex]M \leq \frac{54}{0.20}[/tex]
[tex]M \leq 270[/tex]