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An oil slick is expanding as a circle. The radius of the circle is initially 3 meters and increases at the rate of 15 meters per day. Express the area of the circle as afunction of t, the number of days elapsed. The area of a circle is A(r) = 3.14r^2

Respuesta :

So, we know that the area of a circle is given by the function:

[tex]A(r)=3.14r^2[/tex]

So, if we notice, the radius increase at the rate of 15 meters per day, then, the radius of the oil stick after t days is given by:

r=3+15t.

And, we can rewrite:

[tex]A(t)=3.14(3+15t)^2[/tex]

So,

[tex]A(t)=3.14(9+90t+225t^2)[/tex]

And that is the area of the circle as a function of t.

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