Question

an underground gasoline storage tank is leaking. the tank currently contains 600 gallons of gasoline and is losing 3.7 gallons per day. if the value of the gasoline is $2.55 per gallon, how quickly is the value of the stored gasoline changing?

Answer 1

The gasoline that is stored is changing -$9.435 per day.

What is a chain rule?

The chain rule is a formula that expresses the derivative of the composition of two functions that  are differentiable. It states the derivative of a function. When differentiating two functions which are multiplied together we use chain rule. It is used to find the derivative of a composite function.

dh/dx= -3.7

dt/dh=2.55

dt/dx=(dt/dh)×(dh/dx)

dt/dx= -3.7×2.55

dt/dx= -$9.435 per day

The value of the gasoline that is stored is changing -$9.435 per day.

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