Question

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.

Answer 1

Let's first find the hourly parking rate:

$\dfrac{\ 7}{3 \,\textrm{hours}} = \dfrac{p}{1 \,\textrm{hour}}$

• Set up

$\ 7 \cdot 1\,\textrm{hour} = p \cdot 3 \,\textrm{hours}$

• Cross multiply over the = sign

$\ 7 = 3p$

• Divide both sides by $1 \,\textrm{hour}$

$p = \dfrac{\ 7}{3} = \ \dfrac{7}{3}$

• Divide both sides by 3

The hourly rate is $\ \dfrac{7}{3}$, so now let's make that into an equation.

$c = \ \dfrac{7}{3} p$

• This equation says that the cost is equivalent to the rate of $\ \dfrac{7}{3}$ multiplied by the number of hours parked

The equation is $\boxed{c = \ \dfrac{7}{3} p}$.

Answer 2

Answer:

c=7/3p

Step-by-step explanation: