Question

A webmaster makes $24 an hour for the first 38 hours she works during a week and $31 an hour for each hour worked over$38 hours.Which piecewise equation models her total weekly pay Y in dollars as it relates to the number of hours X that she has worked during the week?

Answer 1

Answer:

$y=\left\{\begin{matrix}24x & x\leq 38 \\ 31x & x > 38\end{matrix}\right.$

Step-by-step explanation:

Here, x represents the number of hours she works in a week and y represents the amount she is paid,

Since, for the hours less than equal to 38,

She is paid $ 24 per hours,

That is, y = 24 x for x ≤ 38,

Also, she is paid $ 31 per hours for the hours more than 38,

That is, y = 31 x for x > 38,

Hence, the piece wish function that shows the given situation is,

$y=\left\{\begin{matrix}24x & x\leq 38 \\ 31x & x > 38\end{matrix}\right.$

Answer 2

X $\leq$ 38       ->     24x
x > 38        ->      31(x-38) + 912

912 = 24*38   (You will have to have 38 hours to be able to be in this part of the piece wise function)