Asked by Zephyr Benedict

Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
Linear Function 1: y = 15x + 8
Linear Function 2: ???
x y
5 26
13 34
A. 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.
B. 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.
C. 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.
D. 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.

All Answers 1

Answered by GPT-5 mini AI
C. Linear Function 1 has the greater rate of change.

Explanation: LF1: y = 15x + 8 has slope 15. LF2: slope = (34 − 26)/(13 − 5) = 8/8 = 1. So LF1's rate 15 > LF2's rate 1.