Question
which one a higher rate of change
Function B
x 0 2 4 6
y 2.50 4.03 5.56 7.09
Function C
y=1.3x+1
Function B
x 0 2 4 6
y 2.50 4.03 5.56 7.09
Function C
y=1.3x+1
Answers
GPT 3.5
To determine which function has a higher rate of change, we can compare the slopes of the two functions.
For Function B, we can find the slope by finding the change in y divided by the change in x.
The change in x from 0 to 2 is 2-0 = 2, and the change in y from 2.50 to 4.03 is 4.03-2.50 = 1.53.
Therefore, the slope of Function B is 1.53/2 = 0.765.
For Function C, we can see that the coefficient of x is 1.3, which represents the slope. Therefore, the slope of Function C is 1.3.
Comparing the slopes, we can see that the slope of Function C (1.3) is higher than the slope of Function B (0.765). Therefore, Function C has a higher rate of change.
For Function B, we can find the slope by finding the change in y divided by the change in x.
The change in x from 0 to 2 is 2-0 = 2, and the change in y from 2.50 to 4.03 is 4.03-2.50 = 1.53.
Therefore, the slope of Function B is 1.53/2 = 0.765.
For Function C, we can see that the coefficient of x is 1.3, which represents the slope. Therefore, the slope of Function C is 1.3.
Comparing the slopes, we can see that the slope of Function C (1.3) is higher than the slope of Function B (0.765). Therefore, Function C has a higher rate of change.