Question

Write a function rule for each table.

Answer 1

Let's assume that this function is linear. 

Take any 2 of the points and find the slope of the line segment connecting them:

        103 - 80
m = ------------- = 23, meaning $23 per day.  Subtracting $23 from $34 (in the table), we get $11.  Thus, the correct linear relationship is B.
          4 - 3

Answer 2

Answer:

$y=23x+11$

Step-by-step explanation:

Days                  cost to rent a truck  

1                                   34

2                                  57

3                                  80

4                                   103

The difference of cost of rent is 23

57-34= 23

80-57=23

Since the difference is a constant, it is a linear function

To find the rule of linear function we use y=mx+b

where m is the slope and b is the initial value

Slope is the constant that is 23

So equation becomes $y=23x+b$

To find out b we plug in days x=1 and cost y= 34

$34=23(1)+b$

Subtract 23 from both sides

$b=11$

The function rule for this table is

$y=23x+11$