Question

Mr.Wilson opened a bakery and a juice bar in his neighborhood. The functions below represent the profit, in dollars, earned from the bakery and the juice bar after t months.

Bakery:
B(t)=-50t^2+650t+700
Juice Bar: J(t)=-40t^2+555t+675

Which function best describes P(f), the total profit earned from the bakery and the juice bar after t months?

a) P(t)= -10t^2+1,205t+1,375
b) P(t)= -90t^2+1,205t+1,375
c) P(t)= -90t^2+95t+25
d) P(t)= -10t^2+95t+25

Answer 1

The answer is option "b, P(t)= -90t^2+1,205t+1,375".

Profit from the bakery = B(t)=-50t^2+650t+700
Profit from the juice bar = Juice Bar: J(t)=-40t^2+555t+675

Total profit P(t) = B(t) + J(t)

P(t) = (-50t^2+650t+700) + (-40t^2+555t+675)

=-50t^2+650t+700 -40t^2+555t+675

= -90t^2+1,205t+1,375