Question

A rental car company charges 37.50 per day

Answer 1

she can afford to rent the car for a maximum of 4 days while staying within her budget.

Let x be the number of days Alyssa plans to rent the car. The total cost C for renting the car for x days and driving 100 miles is given by the equation:

`\[ C = 37.50x + 0.05 * 100 * x \]`

However, Alyssa has at most $200 to spend, so we can write the inequality:

`\[ 37.50x + 0.05 * 100 * x \leq 200 \]`

Now, let's solve for x:

`\[ 37.50x + 5x \leq 200 \]`

Combine like terms:

`\[ 42.50x \leq 200 \]`

Divide both sides by 42.50:

`\[ x \leq (200)/(42.50) \]`

Simplify the right side:

`\[ x \leq 4.705 \]`

Since Alyssa cannot rent a fraction of a day, she must round down to the nearest whole number. Therefore, she can afford to rent the car for a maximum of 4 days while staying within her budget.

The probable question may be:

A rental car company charges $37.50 per day to rent a car and $0.05 for every mile driven. Alyssa wants to rent a car, knowing that: She plans to drive 100 miles. She has at most $200 to spend. Write and solve an inequality which can be used to determine x, the number of days Alyssa can afford to rent while staying within her budget.