pratice final A, TI-89 titatnium calculator may be used if needed. whichever is easier for me. please help

Question

Answer 1

The profit function is P(t) = 1500t -3√t -50000 .

Average rate of change = [f(x₂) - f(x₁)] / (x₂ - x₁) 

Average rate of change in profit function  = [P(t₂) - P(t₁)] / (t₂ - t₁) 

t₁ = 3, t₂ = 7

P(t₂ = 7) = 1500(7) -3√7 -50000 = -39507.937

P(t₁ = 3) = 1500(3) -3√3 -50000 = -45505.196

P(t₂) - P(t₁) =-39507.937 - (-45505.196) = 5997.258

Average rate of change in profit function  = [5997.258] / (7 - 3) 

                                                                = [5997.258] / 4

                                                                = 1499.314 

Therefore the average rate of change in profit function between 3 months and after 7 months is 1499.314 .

Option (e) is the Correct Choice.