Question

Graph points: 5,0, 7,1, 9,2 11,3, 13,4.
What is the rate of change?

Answer 1

To find the rate of change between the points given, you can use the formula for the rate of change, which is the difference in the \(y\)-values divided by the difference in the \(x\)-values between two points.

Let's calculate the rate of change between two consecutive points:

1. Between (5,0) and (7,1):
\[
\text{Rate of change} = \frac{1 - 0}{7 - 5} = \frac{1}{2} = 0.5
\]

2. Between (7,1) and (9,2):
\[
\text{Rate of change} = \frac{2 - 1}{9 - 7} = \frac{1}{2} = 0.5
\]

3. Between (9,2) and (11,3):
\[
\text{Rate of change} = \frac{3 - 2}{11 - 9} = \frac{1}{2} = 0.5
\]

4. Between (11,3) and (13,4):
\[
\text{Rate of change} = \frac{4 - 3}{13 - 11} = \frac{1}{2} = 0.5
\]

The rate of change is consistent between all the points, and it is \(0.5\). Therefore, the overall rate of change for the values provided is \(0.5\).