Question

Write a function rule for the table days 1/2/3/4 cost to rent a truck 34/50/66/82

Answer 1

Explanation:

Write a function rule for each table.

Days

1

2

3

4

Cost to Rent a Truck

34

50

66

82

A. c = 16d + 16

B. c = 16d + 18

C. c = 16d

D. c = 18d + 16

Answer 2

Days : 1 2 3 4 →→→→→→D(X axis)

Rent a Truck: 34 50 66 82→→→→→→R(Y axis)

As you can observe from number of Days and Amount to rent a truck , if you rent for a day the price being $ 34 and with increase in Day the rent increases by $ 16.

Plotting the point on graph , found that these points are collinear.

So, we can Represent this relation between days and Rent in equation of two variables representing a line.

Two point formula of line:

`(y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2)-x_(1))` →→Equation of line passing through two points
`(x_(1),y_(1)) and (x_(2),y_(2))`

So , line representing Days and rent is :

`(y-34)/(x-1)=(50-34)/(2-1)\\\\ y- 34 = 16(x-1)\\\\ y - 34 = 16 x - 16\\\\ 16 x - y + 18=0`

So, the rule representing Days and Rent is: 16 D - R + 18=0