Question

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

Answer 1

Answer:

1)

Rule: $Y=5\TIMES (1.5)^X$

Exponential function.

2)

Rule: $Y=18x-6$

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:

$Y=5\TIMES (1.5)^X$

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:

$Y=18x-6$

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).