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