Question

A circle initially has a radius of 3 inches. it begins to expand in such a way that the radius gains 2 inches every 30 seconds. express the radius as a function of time.

Answer 1

The radius of the circle can be expressed as a function of time using the equation R(t) = 3 + (t/30)*2, where R(t) represents the radius of the circle at time t in seconds. The initial radius is 3 inches, and it increases by 2 inches every 30 seconds.

Step-by-step explanation:

The radius of the circle can be expressed as a function of time using the equation R(t) = 3 + (t/30)*2, where R(t) represents the radius of the circle at time t in seconds. The initial radius is 3 inches, and it increases by 2 inches every 30 seconds. So, for every 30 seconds that pass, the radius increases by 2 inches.