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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.

Respuesta :

qabtt

Let's first find the hourly parking rate:

[tex]\dfrac{\$ 7}{3 \,\textrm{hours}} = \dfrac{p}{1 \,\textrm{hour}}[/tex]

  • Set up

[tex]\$ 7 \cdot 1\,\textrm{hour} = p \cdot 3 \,\textrm{hours}[/tex]

  • Cross multiply over the = sign

[tex]\$ 7 = 3p[/tex]

  • Divide both sides by [tex]1 \,\textrm{hour}[/tex]

[tex]p = \dfrac{\$ 7}{3} = \$ \dfrac{7}{3}[/tex]

  • Divide both sides by 3

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

[tex]c = \$ \dfrac{7}{3} p[/tex]

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

The equation is [tex]\boxed{c = \$ \dfrac{7}{3} p}[/tex].

zinnia30

Answer:

c=7/3p

Step-by-step explanation:

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