To determine the rate of change for each linear function, we can calculate the difference between the y-coordinates for two different x-values.
For Linear function 1: y = 15x + 8, let's calculate the difference between the y-coordinates for x = 5 and x = 13.
For x = 5, y = 15(5) + 8 = 75 + 8 = 83.
For x = 13, y = 15(13) + 8 = 195 + 8 = 203.
The difference in y-coordinates is 203 - 83 = 120.
For Linear function 2, we are given the values of x and y, so we can directly calculate the difference in y-coordinates.
For x = 5, y = 26.
For x = 13, y = 34.
The difference in y-coordinates is 34 - 26 = 8.
Comparing the differences in y-coordinates, we can see that the rate of change for Linear Function 1 is 120, while the rate of change for Linear Function 2 is 8. Therefore, Linear Function 1 has the greater rate of change.
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 answer