Question

Pls help this packet is driving me crazy!!

Answer 1

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.

Answer 2

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).