Becky rented a power tool from a rental shop. The rent for the tool was 12 dollars for the first...

Question

Becky rented a power tool from a rental shop. The rent for the tool was 12 dollars for the first hour and 3 dollars for each additional hour. If Becky paid a total of 27 dollars, excluding sales tax, to rent the tool, for how many hours did she rent it?

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6 hours. We first define a variable to represent the total number of hours Becky rented the tool. h = number of hours Becky rented the tool We translate "12 dollars for the first hour" and "3 dollars for each additional hour" into an equation, then set it equal to the total payment of "27 dollars". 12 + 3(h - 1) = 27 We then solve for the variable by isolating it on one side of the equation. 12 + 3(h - 1) = 27 3(h - 1) = 27 - 12 = 15 h - 1 = 15/3 = 5 h = 6

Explanation	Calculations	Help
$We first define a variable to represent the total number of hours Becky rented the tool.$	$h = number of hours Becky rented the tool$
$We translate "12 dollars for the first hour" and "3 dollars for each additional hour" into an equation, then set it equal to the total payment of "27 dollars" .$	$12 + 3 (h - 1) = 27$
$We then solve for the variable by isolating it on one side of the equation.$	$12 + 3 (h - 1) = 27 3 (h - 1) = 27 - 12 = 15 h - 1 = \frac{15}{3} = 5 h = 6$

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