Question

Carolina is mowing the lawn for a summer job. For each cutting job, she charges an initial fee of $ 8 plus $ 6 for each hour of work. 1-Write an equation (in the form y = mx + b) to represent this problem. 2-If Carolina is paid a total of $ 32, how many hours did she work?

Answer 1

1. y = 6x + 8

2. 4 hours.

Explanation:

x is each hour of work.

y is the total that Carolina is paid.

y = mx + b

32 = 6(x) + 8

Subtract 8 from both sides.

6x = 32 - 8

6x = 24

Divide both sides by 6.

x = 4

Carolina is works 4 hours to be paid 32.

Answer 2

F(t) = 8 + 6(t)

Explanation:

6*4 = 24

32-24 = 8

so her initial fee is $8

so function is:

F(t) = 8 + 6(t)