Question

If a table represents X as 1,2,3,4,5 and Y as 68,71,74,77,80 then what is the rate of change?

Answer 1

The rate of change is 3. Y increases by 3 for every 1 increase in x.

Explanation:

See the attached graph.

The rate of change is the slope of the equation y = mx + b

b is the y-intercept, which we find at (0,65).

m, the slope, is 3. The rate of change between the given x points (1,2,3,4,5) is 3. Y increases by three at each step, starting with the y-intercept value of 65.