Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Question

While visiting Springdale, Emir can pay a flat rate of $8 for parking or $1 per hour. For the length of time that Emir wants to park in Springdale, the two options are actually equivalent in terms of cost. For how long does Emir want to park? How much will Emir pay?

For
hours of parking, Emir will pay $
.

Answer 1

Let's denote the number of hours Emir wants to park as \( h \).

1. The cost of parking with the flat rate is $8.
2. The cost of parking at $1 per hour is \( 1 \cdot h = h \).

Now we can set up an equation to find \( h \):

\[ h = 8 \]

This means that for 8 hours of parking, both payment options will yield the same cost.

Now, let's calculate the amount Emir will pay at the flat rate (which we already know) or the hourly rate:

If Emir chooses to park for 8 hours, then:

• At the hourly rate: \( 1 \cdot 8 = 8 \) dollars.
• At the flat rate: \( 8 \) dollars.

So, Emir wants to park for

\[ \text{8 hours} \]

and will pay

\[ \text{8 dollars}. \]

Filling in the blanks: For 8 hours of parking, Emir will pay $8.