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) ?

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

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d