Question

PLEASE HELP

which function rule would help you find the values in the table
p 2, 4, 6, 8
q -14, -28, -42, -56

A. q = -7p
B. q = p - 7
C. q = - 14p
D. q = p - 14

Answer 1

`q = - 7p`

Step-by-step explanation

The constant difference of p values is

4-2=2

The constant difference of the 'q' values is

-28--14=-14

The function is of the form:

`q = m(p - p_1) + q_1`

where

`m = (change \: in \:q )/(change \: in \: p)`

`m = ( - 14)/(2) = - 7`

We plug in the values to get;

`q = - 7(p - 2) + - 14`

Expand:

`q = - 7p + 14+ - 14`

Simplify:

`q = - 7p`