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?

F(t) = 8 + 6(t)

Step-by-step explanation:

6*4 = 24

32-24 = 8

so her initial fee is $8

so function is:

F(t) = 8 + 6(t)

1. y = 6x + 8

2. 4 hours.

Step-by-step 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.

omg what happend to your question? if you could edit this question i can

step-by-step explanation:

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional