A truck rental moving company charges a flat rate of $50 to rent a truck and 25 cents for every mile driven if Alexa can spend no more than a total of $230 for the rental how many miles can she drive the truck

Answer 1

To determine how many miles Alexa can drive the truck, we can set up the following equation based on the given information.

1. The flat rate to rent the truck is $50.
2. The cost per mile driven is $0.25 (or 25 cents).
3. Alexa's total budget is $230.

Let \( x \) be the number of miles driven. The total cost formula can be expressed as:

\[ \text{Total Cost} = \text{Flat Rate} + \text{Cost per Mile} \times \text{Miles Driven} \]

Plugging in the values we have:

\[ 230 = 50 + 0.25x \]

Now, we can solve for \( x \):

1. Subtract the flat rate from the total cost:

\[ 230 - 50 = 0.25x \]

\[ 180 = 0.25x \]

2. Divide both sides by 0.25 to solve for \( x \):

\[ x = \frac{180}{0.25} \]

\[ x = 720 \]

Therefore, Alexa can drive the truck for 720 miles.