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
Which of the following shows the sum. T. of all of Carlie's expenses from both businesses?

Question

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Respuesta :

skyluke89 skyluke89 · Answer 1 · 2020-04-21T13:11:08+02:00

Answer:

[tex]375+12ct_c+10lt_l[/tex]

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:

[tex]t_c[/tex] = the number of hours worked by each associate

[tex]c[/tex] = the number of associates

The total cost for the childcare business is:

[tex]C=100+12ct_c[/tex] (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:

[tex]t_l[/tex] = the number of hours worked by each associate

[tex]l[/tex] = the number of associates

The total cost for the lawn care business is:

[tex]L=275+10lt_l[/tex] (2)

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

[tex]T=C+L=100+12ct_c+275+10lt_l = 375+12ct_c+10lt_l[/tex]