Answer:
1.5 thousand owners per year.
Step-by-step explanation:
Number of car owners is represented by the function as
f(t) = 0.25t² - 0.5t + 3.5
Where 't' is time in years.
Now we have to find the rate of change of f(t) from t = 2 to t = 6
or [tex]\frac{f(6)-f(2)}{6-2}[/tex]
f(6) = 0.25 × 36 - 0.5 × 6 + 3.5
= 9 - 3 + 3.5
= 9.5
f(2) = 0.25 × 4 - 0.5 × 2 + 3.5
= 1 - 1 + 3.5
= 3.5
Now average rate of change [tex]\frac{f(6)-f(2)}{6-2}[/tex]=[tex]\frac{9.5-3.5}{6-2}[/tex]
[tex]=\frac{6}{4}[/tex]
= 1.5 thousand owners per year.
