00:01
In this problem, we have a function named w of h that explains how a mechanic gets paid.
00:09
So the mechanic's hourly rate is $14 per hour.
00:15
So this says that if the employee works, the mechanic works, the number of hours is more than zero, but less than or equal to 40 hours, he gets paid $14 per hour.
00:28
So $14 times 40 hours is $560.
00:33
So if he gets paid, if he works more than 40 hours.
00:38
So when h is more than 40 hours, he's already gotten his $560 worth of pay, plus he gets $21 an hour for any hours over 40 that he works.
00:49
So using our piecewise function, we want to see what w of 30 means.
00:55
Means what would his wages be if he worked 30 hours? so since 30 is less than or equal to 40 but greater than zero, we would use this formula.
01:06
And he would get $14 times his 30 hours.
01:14
And that would be $420.
01:20
That would be his paycheck.
01:22
And then, of course, he'd have taxes and stuff.
01:24
Okay? if he worked 40 hours, then he would still use...