Question

What is the Average Rate of Change of the graph below from -5 ≤ t ≤ 8
f(t)

Answer 1

average rate of change =
`(6)/(13)`

Explanation:

the average rate of change of f(t) in the closed interval [ a, b ] is

`(f(b)-f(a))/(b-a)`

here [ a, b ] = [ - 5, 8 ] , then

f(b) = f(8) = 6 ← point (8, 6 ) on graph

f(a) = f(- 5) = 0 ← point (- 5, 0 ) on graph

then

average rate of change =
`(6-0)/(8-(-5))` =
`(6)/(8+5)` =
`(6)/(13)`