Question

Rate of change. first plot is 0,20. and another is 20,80. what would the rate of change be?

Answer 1

The rate of change for the given plot is 3.

Explanation:

The rate of change is also called as slope.

Consider these two points forms a straight line in a graph. Then the line equation can be given by y=mx+c.

where m= slope and c = y-intercept.

Then the slope can be calculated by the the formula:

m=
`(rise)/(run)`.

rise = change in vertical direction.

⇒rise =
`y_2-y_1`.

run = change in horizontal direction.

⇒run =
`x_2-x_1`.

Apply the plots (0,20) and (20,80) in the formula.

rise=80-20.

rise=60.

run=20-0.

run=20.

m=
`(60)/(20)`.

m=3.

The rate of change is 3.