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).
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.
