### Home > PC > Chapter 2 > Lesson 2.3.7 > Problem 2-157

2-157.

Jill has a job like Jack’s except that she makes $10/hr after six hours. Homework Help ✎ Find

*J*(*t*), Jill’s earnings after*t*hours of work.Crown’s job pays $6/hr for the first 8 hours and then $12/hr after that. What is

*C*(*t*), Crown’s earnings after*t*hours on the job?When will Jill make $46?

Extension: When does Jill make more than Crown?

Use the same thinking as in (a) above.

You know that in 6 hours

Jill will have $30.

So 30 +10(*t* − 6) = 46.

Solve for *t*.

When is 30 + 10(*t* − 6) > 48 + 12(*t* − 8) AND 6*t* < 30 + 10(*t* − 6)?