Question

The number of Xbox ones sold since 2013 at Bargain Buy electronic store can be modeled by the function N(t) = 5t + 9 and the price per system can be modeled by P(t) = 2t2- 3t + 6, where t is the number of years since 2013. Write a function that models the revenue generated by the sales of the xbox one gaming system.
R(x) = ____+____+_____+_____

Answer 1

Answer:

$R(t)=10t^3+3t^2+3t+54$

Step-by-step explanation:

The Number Sold since 2013, N(t) = 5t + 9

Price per system, $P(t) = 2t^2- 3t + 6$

Revenue = Number of System Sold X Price per system

=N(t)XP(t))

$= (5t + 9)(2t^2- 3t + 6)\\ Distribute\\=5t(2t^2- 3t + 6)+ 9(2t^2- 3t + 6)\\=10t^3-15t^2+30t+18t^2-27t+54\\=10t^3-15t^2+18t^2+30t-27t+54\\R(x)=10t^3+3t^2+3t+54$