Indicate whether the function is one-to-one.
-An oil well off the Gulf Coast is leaking, with the leak spreading oil over the surface of the gulf as a circle. At any time $t$, in minutes, after the beginning of the leak, the radius of the oil slick on the surface is $r ( t ) = 4 t$ ft. Find the area A of the oil slick as a function of time.
A) $A ( r ( t ) ) = 16 \pi t ^ { 2 }$
B) $\mathrm { A } ( \mathrm { r } ( \mathrm { t } ) ) = 16 \mathrm { t } ^ { 2 }$
C) $\mathrm { A } ( \mathrm { r } ( \mathrm { t } ) ) = 4 \pi \mathrm { t } ^ { 2 }$
D) $A ( r ( t ) ) = 16 \pi t$

Question

Quizplus · Accepted Answer

The area $A$ of a circle is given by $A = \pi r^2$. Given $r(t) = 4t$, substituting into the area formula gives $A = \pi (4t)^2 = 16\pi t^2$.

Indicate Whether the Function Is One-To-One ttt , in Minutes, After the Beginning of the Leak, the the Gulf

Indicate Whether the Function Is One-To-One $t$ , in Minutes, After the Beginning of the Leak, the the Gulf