Thread: Rate of Change and Value.

The Value, V dollars of an artifact t years after it is purchased is modeled by the function

V(t) = (3580+0.3t)(2+t) / √ 0.7t+3 , where V is in dollars and t > or = 0

a) what was the purchase price of the artifact?
b) determine the rate of change of the value of the artifact after t years
c) Is the value of the artifact increasing or decreasing? Justify your answer

Originally Posted by Elouche

The Value, V dollars of an artifact t years after it is purchased is modeled by the function

V(t) = (3580+0.3t)(2+t) / √ 0.7t+3 , where V is in dollars and t > or = 0

a) what was the purchase price of the artifact?

that would be V(0)

b) determine the rate of change of the value of the artifact after t years

that would be V'(t)

c) Is the value of the artifact increasing or decreasing? Justify your answer

that would be determined by the sign of V'(t)

I take it that you do know how to find a derivative, correct?