Two functions, P and Q, are described as follows: Function P y = 5x + 3 Function Q The rate of change is 2 and the y-intercept is 4. How much more is the rate of change of function P than the rate of change of function Q? 3 5 7 8
Function P . . . . . y = 5x + 3
Function Q . . . . . y = 2x + 4
Function P rate of change = 5
Function Q rate of change = 2
The first one is => 3 <= more than second one.
Answer: The rate of change of function P is 3 more than the rate of change of function Q.
Step-by-step explanation:
We know that the slope intercept form of a line is written as \(y=mx+c\), where m is the slope of line which represents the rate of change of 'y' relative to corresponding change in 'x'.
Given: Function P \(y=5x+3\)
Thus, the rate of change for function P = 5
as given that the rate of change for function Q =2
And 5>3
Thus, difference =5-2=3
Therefore, the rate of change of function P is 3 more than the rate of change of function Q.