linear function 1 y=15x+8

Question

linear function 2

x y
5 26
13 34
comapre linear function 1 with linear function 2. which one has the greater rate of change

Answer 1

To compare the rate of change of the two linear functions, we can look at their slopes.

The slope of linear function 1 is 15, as it is the coefficient of x in the equation y=15x+8.

The slope of linear function 2 can be calculated by using the two points (5,26) and (13,34).
First, find the change in y: 34-26 = 8
Then, find the change in x: 13-5 = 8
Finally, calculate the slope: 8/8 = 1

Therefore, the slope of linear function 2 is 1, and the slope of linear function 1 is 15.
Since the slope of linear function 1 is greater (15 > 1), linear function 1 has the greater rate of change.