Complete the statement about the tables below. then, choose a rule for each.

this table represents a(n) relationship

1. exponential
2. linear
3. quadratic
4. absolute value
x y
0 5
1 7.5
2 11.25

by rule: ?
1. y= 2.5x+5
2.y= l1.5x+5l
3.y= 5(1.5)^x
4.y= 1.5x^2+5

this table represents a(n) relationship
x y
0 -6
1 12
2 30

by rule:
1. y= -l18xl-6
2. y= 18x-6
3. y= 18x^2-6
4. y= (-2)^x-6

1)

Rule:

Exponential function.

2)

Rule:

Linear Function.

Step-by-step explanation:

1)

We are given a first table as:

         X                  Y

         0                  5

         1                  7.5

         2                 11.25

The rule for the following table is given by:

this could be checked by putting all the given point i.e. X in the function and check that the corresponding Y value holds.

This is an exponential function.

2)

The second table is given as:

          X              Y

           0             -6

            1             12

            2            30

The rule for the following table is given by:

this could be checked by putting all the given point i.e. X in the function and check that the corresponding Y value holds.

This is an linear function.

Since the equation is similar to a equation of a line (y=mx+c).

3201

step-by-step explanation:

a negative exponent is translated as follows:

so, we have