An oil spill initially covers of ocean surface

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

An oil spill initially covers

100\,\text{m}^2

of ocean surface. Ten minutes later it covers

150\,\text{m}^2

. If the area

A(t)

(in

\text{m}^2

) grows at a rate proportional to its current area, which value of

k

(in

\text{min}^{-1}

) best fits the data? (a)

0.033

(b)

0.041

(c)

0.0176

(d)

0.050