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Answer:
Function 1
Step-by-step explanation:
The rate of change is measured by the slope m
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 10 ← is in slope- intercept form
with slope m =
Calculate the slope of Function 2 using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 14.25) and (x₂, y₂ ) = (1, 15.75) ← 2 ordered pairs from the table
m = =
= 0.75 =
To compare the 2 fractions we require them to have a common denominator.
=
and
=
>
Thus Function 1 has the greater rate of change