Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change? Choose 1 for Linear Function 1; choose 2 for Linear Function 2.

Question

Linear Function 1: y=x+8
Linear Function 2: (2,6) (4,10)

Answer 1

To compare the rates of change for the two linear functions, we can calculate the slope of each function.

For Linear Function 1:
y = x + 8
has a slope of 1, because the coefficient of x is 1.

For Linear Function 2:
Using the two points given (2,6) and (4,10), we can calculate the slope as follows:
Slope = (change in y) / (change in x)
= (10-6) / (4-2)
= 4 / 2
= 2

So, Linear Function 2 has a greater rate of change (slope) than Linear Function 1.
Choose 2 for Linear Function 2.