Question

Pls help this packet is driving me crazy!!

Answer 1

First, it would be useful to find the rate of change for proportion B. We know it will be in the form y=kx where k is the rate of change, so we just substitute the values from the table:
34.5=k(3)
11.5=k
57.5=k(5)
11.5=k
And as you would guess, 92/8 also equals to 11.5, meaning that the rate of change for proportion B is 11.5. This gives us the equation y=11.5x for proportion B.
Now, we can see that the rate of change for proportion A (9) is 2.5 less than the rate of change for proportion B (11.5).

Answer 2

Proportion A
The first thing you should know in this case is what the rate of change means.
The rate of change in a linear equation is given by the slope of the line.
For a linear equation, the rate of change is constant.
So we have to:
y = 9x
The slope is:
m = 9
Proportion B
The slope of the line will be:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (57.5-34.5) / (5-3)
m = 11.5
Answer:
The rate of change in proportion A is 2.5 less than in proportion B.