MATH SOLVE

4 months ago

Q:
# How can Kendra determine if the function is actually linear?She can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.She can check to see if the sum of each y-value and x-value in every ordered pair is the same. She can check to see if the quotient of each y-value and x-value in every ordered pair is the same.She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

Accepted Solution

A:

Answer:D. She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.Step-by-step explanation:Find the rate of change between first two ordered pairs and the second two ordered pairs:1. Points (2,4) and (3,9). Rate of change:[tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{9-4}{3-2}=\dfrac{5}{1}=5[/tex]2. Points (3,9) and (4,16). Rate of change:[tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{16-9}{4-3}=\dfrac{7}{1}=7[/tex]The rate of change for the linear function must the same for each two points on the graph of the function. In this case, the reate of change differs, so this function is not linear and correct option is D.