Answer:
A
Step-by-step explanation:
Rate of change of the functions is measured by their slopes.
Function M
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (0, 1) ← 2 ordered pairs from the table
m = [tex]\frac{1+9}{0+2}[/tex] = [tex]\frac{10}{2}[/tex] = 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
