### Home > CALC > Chapter 4 > Lesson 4.2.4 > Problem4-86s

4-86s.

Brianna is babysitting for her calculus teacher because she broke her phone and needs to buy a new one. She will get paid at a flat rate of $\3.50$ per hour, per child. Natalie is away at a friend’s house for the first two hours while Brianna is babysitting Morgan and Lydia. Natalie returns and Brianna continues to babysit for three additional hours.

1. Sketch a graph and write a piecewise function to represent Brianna’s pay rate.

2. How much will Brianna get paid for the five hours of work?

3. Represent Brianna’s total pay using definite integrals.

His error is in the first line. How does he use or not use the Distributive Property?