Question

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

Answer 1

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:

 $\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ →→Equation of line passing through two points $(x_{1},y_{1}) and (x_{2},y_{2})$

So , line representing Days and rent is :

$\frac{y-34}{x-1}=\frac{50-34}{2-1}\\\\ y- 34 = 16(x-1)\\\\ y - 34 = 16 x - 16\\\\ 16 x - y + 18=0$

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

Answer 2

The fraction is 1/16 because every day 16 is more
1/34
2/50
3/66
4/82
all are plus 16