Question

Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
A b C or D
Linear Function 1: y=15x+8
Linear Function 2:
Values of x and y for Two Linear Functions to Analyze and Compare Their Rates of Change and y-Intercepts
x
y
5 26
13 34
(1 point)
Responses

Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 8.
Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 8.

Linear Function 1 has the greater rate of change, with a rate of change equal to 15 while Linear Function 2 has a rate of change equal to 1.
Linear Function 1 has the greater rate of change, with a rate of change equal to 15 while Linear Function 2 has a rate of change equal to 1.

Linear Function 1 has the greater rate of change, with a rate of change equal to 8 while Linear Function 2 has a rate of change equal to 1.
Linear Function 1 has the greater rate of change, with a rate of change equal to 8 while Linear Function 2 has a rate of change equal to 1.

Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 15.
Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 15.
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Answer 1

Linear Function 1. Its rate of change (slope) is 15 (from y = 15x + 8). Linear Function 2 has slope (34−26)/(13−5) = 8/8 = 1. So choose the option that says Linear Function 1 has rate 15 and Linear Function 2 has rate 1 (answer C).