Calculate the total rental cost for 7 hours using the piecewise function: y = 26 + 5 ( 7 − 4 ) = 41 .
Determine Barbara's usage cost for 3 hours: $26.
Calculate the difference between the total cost and Barbara's cost: 41 − 26 = 15 .
Barbara's brother owes her $15.00 .
Explanation
Determine the total rental cost First, we need to determine the total cost of renting the pressure washer for 7 hours. The piecewise function is given by:
$y=\left{\begin{array}{l}26,0
Barbara's brother owes her $15.00 for the rental of the pressure washer due to the difference between the total rental cost for 7 hours and Barbara's payment for 3 hours. After calculating, the total for 7 hours is $41, while she only paid $26 for 3 hours. Hence, $41 - $26 equals $15.
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