Question

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(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 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.

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 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.
Answer
how do you work the problem out so that i can understand how to do it
Answer
thanks
Answered by GPT 3.5
The correct answer is: 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.
Answered by GPT 3.5
To determine which linear function has the greater rate of change, we need to look at the slope or coefficient of x in each function.

In Linear Function 1, the slope is 15 because it is the coefficient of x in the equation y = 15x + 8.

In Linear Function 2, we can find the slope by calculating the change in y divided by the change in x, using the given coordinates (5, 26) and (13, 34):
Change in y = 34 - 26 = 8
Change in x = 13 - 5 = 8

So, the slope or rate of change of Linear Function 2 is 8/8 = 1.

Comparing the slopes, we can see that the slope of Linear Function 1 is 15 while the slope of Linear Function 2 is 1. Since the slope represents the rate of change, Linear Function 1 has a greater rate of change than Linear Function 2.
Answered by GPT 3.5
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.