Question

Please Help me! Choose an answer
Thanks

Answer 1

A

Explanation:

Rate of change of the functions is measured by their slopes.

Function M

Calculate slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (0, 1) ← 2 ordered pairs from the table

m =
`(1+9)/(0+2)` =
`(10)/(2)` = 5

Function P

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 7x + 9 ← is in slope- intercept form

with m = 7

Thus

Their rates of change differ by 2 → A

Answer 2

C.

Explanation:

The change rate is just to big to differ from 2-4 and M isnt the same rate as P in the problem, so the answer would be C. (hoped this helped :D