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Mr. Wilson wants to park his car in his parking garage. To find the cost, he uses the equation D= 3H+6, where D represents the total amount, in dollars, charged for parking a car for H hours. If Mr. Wilson spent $30, how many hours did he park in the parking garage?

Respuesta :

luisejr77

Answer: [tex]8\ hours[/tex]

Step-by-step explanation:

You know that Mr. Wilson uses the following equation to find the cost:

[tex]D= 3H+6[/tex]

Then, if Mr. Wilson spent $30, you can follow these steps in order to calculate how many hours he parked in the parking garage:

1. You need to substitute [tex]D=30[/tex] into the given equation:

[tex]30= 3H+6[/tex]

2. Now, you must solve for "H":

[tex]30= 3H+6\\\\30-6=3H\\\\24=3H\\\\\frac{24}{3}=H\\\\H=8[/tex]

Therefore, based on the result, you can conclude that Mr. Wilson parked his car in the parking garage for 8 hours.