OpenStudy (anonymous):

A local store owner pays her employees time-and-a-half for overtime. That means if an employee works more than 40 hours per week, the store will pay him 1.5 times his regular hourly wage of $6.50

4 years ago
OpenStudy (anonymous):

Write and graph a piecewise function that illustrates an employee's weekly pay, W, as a function of the number of hours, h, that employee works.

4 years ago
OpenStudy (anonymous):

having some trouble with this, if somebody could explain how i could solve this i would really appreciate it!

4 years ago
hero (hero):

f(x) = 6.50x, x <=40 f(x) = 260 + 9.75x, x > 40 Sorry, that's the best I can do.

4 years ago
hero (hero):

That's not really it, but it's close

4 years ago
OpenStudy (anonymous):

thanks, i got this does this seem to make sense or is this wrong? P = {0 h<0 6.5 h 0≤h≤40 260+9.75 40<h≤168}

4 years ago
hero (hero):

But you still need a variable for the the third interval.

4 years ago
hero (hero):

The problem is, you need a variable that will represent h > 40 because it won't be the same as 0 < h < 40

4 years ago
hero (hero):

for h > 40, it is overtime so it starts back at 1 again.

4 years ago
hero (hero):

For instance, if she works one hour overtime, it won't be 260 + 9.75(41) it will be 260 + 9.75(1) For two hours, it will be 260 + 9.75(2) so the variable cannot be h. It has to be "o" maybe for overtime hours. But we have to write a piecewise function in terms of the same variable, so good luck with that.

4 years ago
hero (hero):

I figured it out.

4 years ago
hero (hero):

For the 3rd interval, you have to find the equation of the line. So use points (40, 260) and (41, 269.75) to find the slope, then re-write the equation of the line in terms of h.

4 years ago
OpenStudy (anonymous):

oh okay thank you soo much, what would the equation be in that case?

4 years ago
OpenStudy (anonymous):

@Hero

4 years ago
hero (hero):

wait

4 years ago
hero (hero):

f(h) = 9.75h - 130

4 years ago
hero (hero):

Tricky problem, but not impossible to figure out

4 years ago
hero (hero):

so f(h) = 6.50h 0 < h < 40 f(h) = 9.75h - 130 h > 40

4 years ago
OpenStudy (anonymous):

@Hero thank you so much, i understand much better now. do you know how i could graph that?

4 years ago
OpenStudy (anonymous):

never mind i got it :)

4 years ago