Alexandra paid $7 to park her car for 3 hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between p, the number of hours parked, and c, the cost in dollars. Do NOT use a mixed number.

Determine hourly rate: Determine the hourly parking rate. Since Alexandra paid $7 for 3 hours of parking, we can find the hourly rate by dividing the total cost by the number of hours parked. Hourly rate = Total cost / Number of hours parked Hourly rate = $7 / 3 hoursWrite equation: Write the equation using the hourly rate. Let p represent the number of hours parked and c represent the cost in dollars. The cost is the product of the hourly rate and the number of hours parked. c = Hourly rate * pSubstitute rate: Substitute the hourly rate into the equation. From Step 1, we found that the hourly rate is $7 / 3. We will use this value in our equation. c = ($7 / 3) * pEnsure correct form: Ensure the equation does not use a mixed number. The equation c = ($7 / 3) * p is already in the correct form, as it does not use a mixed number. It expresses the cost c as a function of the number of hours parked p, with the hourly rate being $7 / 3.

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Alexandra paid
$7 to park her car for 3 hours at the parking garage. The garage charges a constant hourly parking rate.
Write an equation that shows the relationship between
p, the number of hours parked, and
c, the cost in dollars.
Do NOT use a mixed number.

Alexandra paid $\$ 7$ to park her car for $3$ hours at the parking garage. The garage charges a constant hourly parking rate. $\newline$ Write an equation that shows the relationship between $p$ , the number of hours parked, and $c$ , the cost in dollars. $\newline$ Do NOT use a mixed number.

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Q. Alexandra paid

\$ 7

to park her car for

3

hours at the parking garage. The garage charges a constant hourly parking rate.

\newline

Write an equation that shows the relationship between

p

, the number of hours parked, and

c

, the cost in dollars.

\newline

Do NOT use a mixed number.

Determine hourly rate: Determine the hourly parking rate. $\newline$ Since Alexandra paid $\$7$ for $3$ hours of parking, we can find the hourly rate by dividing the total cost by the number of hours parked. $\newline$ Hourly rate = Total cost / Number of hours parked $\newline$ Hourly rate = $\$7 / 3$ hours
Write equation: Write the equation using the hourly rate. $\newline$ Let $p$ represent the number of hours parked and $c$ represent the cost in dollars. The cost is the product of the hourly rate and the number of hours parked. $\newline$ $c = \text{Hourly rate} \times p$
Substitute rate: Substitute the hourly rate into the equation. $\newline$ From Step $1$ , we found that the hourly rate is $\$\frac{7}{3}$ . We will use this value in our equation. $\newline$ c = $\left(\$\frac{7}{3}\right) \times p$
Ensure correct form: Ensure the equation does not use a mixed number. $\newline$ The equation $c = (\$7 / 3) \times p$ is already in the correct form, as it does not use a mixed number. It expresses the cost $c$ as a function of the number of hours parked $p$ , with the hourly rate being $\$7 / 3$ .