Question

determine the rate of change and the initial value x 2 8 y 22 25

Answer 1

To find the rate of change and initial value in this scenario, we can use the formula for the slope of a line (rate of change) given two points and then solve for the initial value.

First, let's calculate the rate of change:

Rate of change = (y2 - y1) / (x2 - x1)
Rate of change = (25 - 22) / (8 - 2)
Rate of change = 3 / 6
Rate of change = 0.5

So, the rate of change in this scenario is 0.5.

Next, let's find the initial value (y-intercept) by plugging one of the points (2,22) into the equation of a line (y = mx + b) with the rate of change we found earlier:

22 = 0.5(2) + b
22 = 1 + b
b = 22 - 1
b = 21

Therefore, the initial value (y-intercept) in this scenario is 21.