Valerie needs to rent a car on vacation. The rental company charges $17.95 plus 16 cents for each mile driven.

If Valerie only has $50 to spend on the rental, what is the maximum number of miles she can drive?

thank you so much

You are welcome.

To determine the maximum number of miles Valerie can drive with a budget of $50, we need to understand how the rental company charges for the car rental.

According to the information provided, the rental company charges $17.95 as a base fee and an additional $0.16 for each mile driven.

We can set up an equation to represent the total cost of the car rental:

Total cost = base fee + (cost per mile * number of miles driven)

Let's assume Valerie drives "x" miles.

Total cost = $17.95 + ($0.16 * x)

Since Valerie has a limited budget of $50, we can set up an inequality to find the maximum number of miles she can drive:

$17.95 + ($0.16 * x) ≤ $50

To solve for x, we need to isolate the variable:

$0.16 * x ≤ $50 - $17.95
$0.16 * x ≤ $32.05

Now we can divide both sides of the inequality by $0.16 to solve for x:

x ≤ $32.05 / $0.16
x ≤ 200.31

Considering that Valerie cannot drive a fraction of a mile, the maximum number of miles she can drive is 200 miles.