Question

A stone is tossed into a pond and creates a circular ripple with a radius that increases at a rate of 20 cm/sec. Use this information to answer the next three questions. 11. Express the radius of the ripple, r (in cm), as a function of time, t (in seconds).

(A) r(t) = 20t
(B) r(t) = 207 t
(C) r(t) = 20t²
(D) r(t) = 20
(E) r(t) = 207t²

Answer 1

The radius of the ripple, r, can be expressed as a function of time, t, using the equation r(t) = 20t. This equation shows that the radius increases linearly with time at a rate of 20 cm/sec.

Step-by-step explanation:

To express the radius of the ripple, r, as a function of time, t, we need to use the equation:

r(t) = 20t

This equation shows that the radius, r, increases linearly with time, t, at a rate of 20 cm/sec. So, for every second that passes, the radius of the ripple increases by 20 cm.