Question

Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for her childcare business. And for her lawn care business, she has to pay $275 for materials, and pays her associates $10 per hour.

Write two functions, C(x) and L(x), to represent the amount of money she will need to run her childcare business and her lawn care business. Complete the equations by filling in the blanks.
Childcare business: C(x) =
Lawn care business: L(x) =

Answer 1

Answer:  (Answer in photo, explanation below)

Step-by-step explanation:

Carlie is running two different business.

She needs to pay:

- For the childcare business,

100$ for the materials

12$ per hour for each associate for her childcare business, so if we call:

= the number of hours worked by each associate

= the number of associates

The total cost for the childcare business is:

(1)

- For the lawn care business,

275$ for the materials

10$ per hour for each associate for her lawn care business, so if we call:

= the number of hours worked by each associate

= the number of associates

The total cost for the lawn care business is:

(2)

Therefore, the total expenses from both businesses is the sum of (1) and (2):