Question

Write a function rule for each table.

Days

Cost to Rent a Truck


1

34


2

56


3

78


4

100




c = 22d + 12


c = 22d


c = 22d + 22


c = 12d + 22

Answer 1

he awnser is c) 22d + 12, Every time 1 day of rental is added , the cost rises $22 which means each day you rent the tractor it will be $22 + the fixed fee ( that you can discover by applying d(22) in one of the equations.

Answer 2

c = 22d + 12

Explanation:

The given table is

Days Cost to Rent a Truck

1 34

2 56

3 78

4 100

To right a function of this expression, we first have to find the ratio of these values and then use the point-slope form to get the equation which is linear, because the table is showing a linear relation.

`m=(100-34)/(4-1)=(66)/(3)=22`

Now, we take one point and the slope to find the linear function

`y-y_(1)=m(x-x_(1))\\y-100=22(x-4)\\y=22x-88+100\\y=22x+12`

Therefore, the function has to have a ratio of change of 22 and an y-axis interception at y=12. So, the answer is the first choice, where x is d and y is c.