14
QuizMultiple Choice

Linear Functions — Test

Question 14 • Transition Mathematics for Seniors

Which graph represents a function with a rate of change of 0 point 5 ?

Answer
A
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 2 comma 3) and (1 comma negative 3).
B
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 4 comma 1) and (2 comma negative 2).
C
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 2 comma negative 2) and (4 comma 1).
D
Image with description On a coordinate plane, the x axis ranges from negative 5 to 5 in increments of 1. The y axis ranges from negative 5 to 5 in increments of 1. A line passes through the points (negative 2 comma negative 5) and (2 comma 3).

Explanation

Rate of change is the slope, calculated as change in y divided by change in x. For choice C, the points are (−2, −2) and (4, 1), so the slope is [1 − (−2)] ÷ [4 − (−2)] = 3 ÷ 6 = 0.5. The other choices have different slopes.

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