Piecewise Function & Inverses

[kingpie]

The question I am uncertain of is question five.

Thank you.

 

[pka]

The question I am uncertain of is question five.

Welcome KingPie, if you really want help freely given, Why not learn to post in clear symbols?
You posted images are absolutely useless.

 

[kingpie]

Alright, here are the questions written out then:

You have a summer job that pays time and a half for overtime. That is, if you work more than 40 hours a week, your hourly wage for the extra hours is 1.5 times your normal hourly wage of $7.

1. Copy and complete table, showing your work as well as the answer.
2. Write a piecewise function, P(h), that gives your weekly pay "P" in terms of the number "H" of hours you work.
3. Graph your function.
4. Use your function in question 2 above to find P(45). Interpret your answer by using units in your explanation.
5. Use your function in question 2 above to find P^-1(70). Interpret your answer by using units in your explanation.

 

[Dr.Peterson]

To the extent that I can read the problem (the work is much clearer), you are asking about P^-1(70). Think about what that means: P(30) means how much you earn if you work 30 hours; what does P^-1(70) mean? It means how long you worked if you earn $70, right? So what is the answer? How can you find out? You could use either the graph or algebra.