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) ?

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Mathematics

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5 July, 01:01

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) ?

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Keyla · Answer 1

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