A worker gets 18 dollars per hour for a normal work week of 40 hours and time-and-a-half for overtime. Assuming he works at least 40 hours a week, construct a function describing his weekly paycheck,P, as a function of the number of hours worked, t.

P(t)=____ dollards

I PUT P(t)= 720+30(t-40)
BUT IT SAID IT'S WRONG. HELP PLEASE :((

1 answer

The first 40 hours are paid at $18/hour.

For any amount of time over that, the rate is 18 * 1.5 = $27

So:

P(t) = 18 * 40 + 27 * ( t - 40 ) =

720 + 27 t - 27 * 40 =

720 + 27 t - 1080 =

27 t - 360