Question

What is the average rate of change for 5/6 and 15/14

Answer 1

Average rate of change is 0.80.

Explanation:

Given:

The two points given are (5, 6) and (15, 14).

Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.

The average rate of change for two points
`(x_1,y_1)\ and\ (x_2,y_2)` is given as:

`R=(y_2-y_1)/(x_2-x_1)`

Plug in
`x_1=5,x_2=15,y_1=6,y_2=14` and solve for 'R'. This gives,

`R= (14-6)/(15-5)\\\\R=(8)/(10)\\\\R=0.80`

Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.