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The number of acres in a region cleared for farming follows the formula a = f (t) = 2t2 where t is the number of months since the region started to be farmed and t ranges from t = 0 to t = 10. Find the average rate of change in the number of acres cleared for farming between t = 1 and t = 4. Give units with your answer

Respuesta :

we are given

[tex]a=f(t)=2t^2[/tex]

we can use average rate of change formula from t=a to t=b

[tex]A=\frac{f(b)-f(a)}{b-a}[/tex]

Here, we are given from t=1 to t=4

so, we will get formula as

[tex]A=\frac{f(4)-f(1)}{4-1}[/tex]

now, we can plug values

[tex]A=\frac{2(4)^2-2(1)^2}{4-1}[/tex]

now, we can simplify it

[tex]A=10[/tex]

the average rate of change in the number of acres cleared for farming between t = 1 and t = 4  is 10 acres/ month.............Answer

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