# Derivative Real World Apps

## 11 questions

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• 1. Multiple Choice
30 seconds
1 pt

Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100π ft?

What equation(s) should be used?

$A=πr^2\ \ and\ \ C=2πr$

$C=2πr$

$A=πr^2$

$A=πr^2\ \ and\ \ \ C\ =πd$

• 2. Multiple Choice
30 seconds
1 pt

Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100π ft?

What rate is given in the problem?

$\frac{dC}{dt}=40$

$\frac{dr}{dt}=40$

$\frac{dA}{dt}=40$

$\frac{dπ}{dt}=40$

• 3. Multiple Choice
30 seconds
1 pt

Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100π ft?

What rate are we looking for and when?

$\frac{dA}{dt}\ when\ C=100π$

$\frac{dC}{dt}\ when\ A\ =\ 100π$

$\frac{dA}{dt}\ when\ A\ =\ 100π$

$\frac{dC}{dt}\ when\ r\ =\ 100π$