The correct answer is D: 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.
To determine the rate of change of a linear function, we look at the coefficient of x. In Function 1, the coefficient of x is 15, which means the rate of change is 15.
In Function 2, we can find the rate of change by calculating the change in y divided by the change in x. Plugging in the values from the given points, we have (34-26)/(13-5) = 8/8 = 1. Therefore, the rate of change for Function 2 is 1.
Since 21 > 15, Function 2 has a greater rate of change.
Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
function 1: y = 15x + 8
Function 2: (5, 26) (13, 34)
Answers:
A: 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.
B: 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.
C: 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.
D: 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.
1 answer