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

Question

Mathematics

Bryce Cain

Today, 08:12

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

+4

Answers (1)

Know the Answer?

Maximilian Dean · 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