Question

Write a function rule for the table

Answer 1

the answer to the question is c = 16d + 18

Answer 2

`c=16d +18`

Explanation:

Let d is the number of days and c is the cost to rent

Lets find the difference in the cost of rent

50-34=16

66-50=16

82-66=16

Difference is a constant. so we use linear equation y=mx+b

m is the constant rate, x is our d and y is our 'c' cost

The equation becomes

`c=16d +b`

To find out 'b' we use first row in the table

Plug in 1 for d and 34 for c

`34=16(1) +b`

`34=16+b`, subtract 16 from both sides

`b=18`

Function rule is

`c=16d +18`