after a heavy rainstorm, barbaras dog left muddy paw prints all over her back patio. she decided to rent an…

after a heavy rainstorm, barbaras dog left muddy paw prints all over her back patio. she decided to rent an electric pressure washer to clean up the mess. the piece - wise 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. barbaras brother asked to use the washer and agreed to pay barbara for any additional monies owed.\ny=\begin{cases}26,0 < hleq4\\26 + 5(h - 4),4 < hleq8\\60,8 < hleq24end{cases}\nif barbara used the washer for 3 hours and her brother returned it to the store 7 hours after she rented it, how much does her brother owe her?\n$15.00\n$41.00\n$60.00\n$61.00

after a heavy rainstorm, barbaras dog left muddy paw prints all over her back patio. she decided to rent an electric pressure washer to clean up the mess. the piece - wise 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. barbaras brother asked to use the washer and agreed to pay barbara for any additional monies owed.\ny=\begin{cases}26,0 < hleq4\\26 + 5(h - 4),4 < hleq8\\60,8 < hleq24end{cases}\nif barbara used the washer for 3 hours and her brother returned it to the store 7 hours after she rented it, how much does her brother owe her?\n$15.00\n$41.00\n$60.00\n$61.00

Answer

Answer:

A. $15.00

Explanation:

Step1: Calculate Barbara's cost

Since Barbara used it for 3 hours ($h = 3$) and $0 < 3\leq4$, her cost $y_1=26$.

Step2: Calculate total cost

Her brother returned it 7 hours after she rented it. For $h = 7$ and $4 < 7\leq8$, we use the formula $y=26 + 5(h - 4)$. Substitute $h = 7$ into the formula: $y_2=26+5\times(7 - 4)=26 + 15=41$.

Step3: Calculate amount brother owes

The amount her brother owes is $y_2-y_1$. So $41 - 26=15$.