5
QuizMultiple Choice

Linear vs. Nonlinear Functions — Quiz

Question 5 • Mathematics 8

The table represents a linear function. The rate of change between the points open paren negative 5 comma 10 close paren and open paren negative 4 comma 5 close paren is negative 5 What is the rate of change between the points open paren negative 3 comma 0 close paren and open paren negative 2 comma negative 5 close paren ?

Answer
A
negative 1 fifth
B
1 fifth
C
5
D
negative 5

Explanation

A linear function has the same rate of change between every pair of points. Between (−3, 0) and (−2, −5), the change in y is −5 − 0 = −5, and the change in x is −2 − (−3) = 1. The rate of change is −5 ÷ 1 = −5, so the correct choice is negative 5.

AI-written and checked against the verified answer.

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