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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.

5 answers

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.
how do you work the problem out so that i can understand how to do it
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.
thanks
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.