Question

Mr. Bean starts selling Burly Bean Breakfast Burritos at school in the morning. The equation () = 2 − 13 − 30 represents his profit (money made) over time t, measured in days. a. Find (5). Use a sentence to explain its meaning in the context of this problem. b. When will Mr. Bean break even (aka when will his profit be zero) ?

Answer 1

Answer:

a) Profit P = -70 that is a loss

b) break even time t = 15 units

Step-by-step explanation: Given that the equation

P(t) = t^2 − 13t − 30

Where P represents his profit (money made) over time t

a. Find P(5). That is, the profit made when time t = 5

P(5) = 5^2 - 13(5) - 30

P(5) = 25 - 65 - 30

P(5) = -70

This means that Mr bean is making a loss of 70 dollars as at time t of the day equal to 5

Mr. Bean will break even when his profit equals zero.

P(t) = t^2 − 13t − 30

P(0) = t^2 − 13t − 30 = 0

t^2 − 13t − 30 = 0

Factorizing the above equation will give us

(t -15)(t + 3)

t = 15 or -3

Since time t can't be negative, the time of break even will be 15 units