Question

Use the table to determine the appropriate model of the function, x       1             2             3             4             5       f(x)       15             12             9             6             3       linear quadratic cubic exponential

Answer 1

deltay/deltax= a constant of -3 This means that the velocity is constant, meaning this is a linear function.

The actual line is just f(x)= -3x+18

Answer 2

The appropriate model of the function is:

Linear model

Explanation:

We are given a table of values as:

x f(x)

1 15

2 12

3 9

4 6

5 3

Clearly we could observe that with each increasing value of x the value of function decreases by 3.

This means that the range of change is constant.

Hence, the relation is linear ( as the rate of change is constant )

Also, the equation that models this data set is given by:

`y=f(x)=18-3x`