Linear functions M and P are shown below.
Function M
X / -2 , 0 , 2 , 4
Y / -9, 1, 11, 21
Function P
y = 7x+9
In comparing the rates o change which statement about function M and function P is true?
A , their rates of change differ by 2
B , their rates of change differ by 4
C , Funtion M has a greater rate of change than Function P
D , Funcion M and Function P have the same rate of change
To determine the rates of change for functions M and P, we can calculate the slope of each function.
For function M, we can use the points (-2, -9) and (4, 21) to calculate the slope using the formula: slope = (change in y)/(change in x).
Slope of M = (21 - (-9))/(4 - (-2)) = 30/6 = 5
For function P, we can see that it is in the form y = mx + b, where m represents the slope. So the slope of P is 7.
Comparing the slopes, we can see that the slope of function M is 5, while the slope of function P is 7. Therefore, the statement "Function M has a greater rate of change than Function P" is true.
Thus, the correct answer is C.