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A shore shop rents bicycles. They charge $12 plus $4 per hour. If Mr. Paquette paid $40, how many hours did Mr. Paquette rent his bicycle? Create the equation and solve. Please show all of your work.



Answer :

chibabykalu16

Answer:

7 hours

Step-by-step explanation:

Given:

  • A shore shop rents bicycles. They charge 12 plus 4 per hour. If Mr. Paquette paid 40, how many hours did Mr. Paquette rent his bicycle? Create the equation and solve. Please show all of your work.

From the quantitative question above we can formula an equation with the following constants and variable;

[tex] \sf \text{ \sf total cost} = 12 + 4x[/tex]

Where:

  • Total cost is the final amount paid by the customer.
  • 12 representing the service fee ($12).
  • 4x representing cost per hour. the total hour(s) worked multiplied by 4.

From the question we can get the value;

Total cost = 40

x - unknown

Plotting this in the main formula above:

[tex] \sf \rightarrow 40 = 12 + 4x[/tex]

[tex] \sf \rightarrow 40 - 12= 12 + 4x - 12[/tex]

[tex] \sf \rightarrow \boxed{ \sf 28 = 4x} \rightarrow 4x = 28[/tex]

[tex] \sf \rightarrow \frac{ \cancel{4}x}{ \cancel{4}} = \frac{28}{4} [/tex]

[tex] \sf \boxed{ \boxed{x = 7}}[/tex]

Therefore, he rented his bike for 7 hours

©chibabykalu16

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