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

Respuesta :

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]

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