Question

(algebra 2)

Answer 1

Let x be the number of hours worked.

If Alani works less than 40 hours, then she earns $8 per hour. So if she works 0 ≤ x < 40 hours, she would make ($8/hr)×(x hr) = $8x.

If she works more than 40 hours, her pay increases to $12 per hour. So if she works 40 ≤ x hours, she would make ($12/hr)×(x hr) = $12x.

Let f(x) be the amount of money ($) she makes after working x hours in a given week. Then f(x) is given by the piecewise function,

$f(x) = \begin{cases}8x&\text{if }0\le x$