Question

Stephen is merging onto a highway. The increase in Stephen's speed for the first 8 seconds can be described by the function f(t)=t2+13t, where t is time in seconds. Which is the average rate of change of f(t) between t=2 and t=6?

Answer 1

Answer:

21m/s

Step-by-step explanation:

The average rate of change is expressed as;

A(t) = f(b) - f(a)/b-a

a = 2, b = 6

f(2) = 2² + 13(2)

f(2) = 4 + 26

f(2) = 30

f(6) = 6² + 13(6)

f(6) = 36 + 78

f(6)= 114

b- a = 6-2

b-a = 4

Substitute;

A(t) = 114 - 30/4

A(t) = 84/4

A(t) = 21

Hence the average rateof change is 21m/s