By evaluating the piecewise function, we will see that the brother owes $15.
The piecewise function is:
y = 26, if 0 < h < 4
y = 26 + 5*(h - 4), if 4 < h < 8
y = 60, if 8 < h
Barbara uses it for 3 hours, so we only need to use the first part for her, so she needs to pay $26.
Then the brother uses it for 4 hours (and we need to add the 3 hours that Barbara used it, so we have h = 7).
Then for the 7 hours the two brothers need to pay:
y = $26 + $5*(7 - 4) = $41
If we subtract the part that Barbara needs to pay we get.
$41 - $26 = $15
This means that the correct option is $15.
If you want to learn more about piecewise functions:
https://brainly.com/question/3628123
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