Question

Need Help !!!!!!!!!!!!

Answer 1

Answer:

C

Step-by-step explanation:

The slope m of the functions give the measure of the rate of change.

The equation of a line in slope- intercept form is

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

g(x) = $\frac{5}{2}$ x - 3 ← is in slope- intercept form

with slope m = $\frac{5}{2}$ = 2.5

Calculate the slope of f(x) using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 3.5) and (x₂, y₂ ) = (1, - 1) ← 2 points from the table

m = $\frac{-1+3.5}{1-0}$ = 2.5

Hence

The slopes of g(x) and f(x) are both m = 2.5, thus

The functions increase at the same rate → C