After a heavy rainstorm, Barbara's dog left muddy paw prints all over her back patio. She decided to rent an electric pressure washer to clean up the mess. The piecewise function below shows the rental charges for the pressure washer, dependent upon how many hours she rents it. Due to high demand, you cannot rent the washer for more than 24 hours at a time. Barbara's brother asked to use the washer and agreed to pay Barbara for any additional monies owed. \( y=\left\{\begin{array}{l}26,0

Ask by Olson Donnelly. in the United States

Feb 28,2025

To find out how much Barbara’s brother owes her, we need to break down the rental charges based on the time each used the pressure washer. First, Barbara rented the washer for 3 hours: - According to the function, for \( 0 < h \leq 4 \): \( y = 26 \) So, Barbara pays $26 for her 3 hours. Next, her brother returned the pressure washer 7 hours after Barbara rented it, which means he used it for an additional 4 hours (from 3 hours to 7 hours total). For these 4 hours: - Over 4 hours, the charges follow the second part of the piecewise function: \( 26 + 5(h-4) \) For \( h = 7 \): - \( y = 26 + 5(7-4) = 26 + 15 = 41 \) In total, Barbara paid $26 for her time, and her brother owes her the additional $41 for his 4 hours of usage. So, her brother owes her \( 41 \) (with Barbara absorbing the $26 she already paid). Therefore, her brother owes her a total of: \$ \( 41.00 \)