Tanya runs a catering business. Based on her records, her weekly profit can be approximated by the function f (x) = x2 + 2x - 37, where x is the number of meals she caters. If f (x) is negative, it means that the business has lost money. What is the least number of meals that Tanya needs to cater in order to have a profit?

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Mathematics

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19 May, 06:43

Tanya runs a catering business. Based on her records, her weekly profit can be approximated by the function f (x) = x2 + 2x - 37, where x is the number of meals she caters. If f (x) is negative, it means that the business has lost money. What is the least number of meals that Tanya needs to cater in order to have a profit?

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Abbey Lester · Answer 1

5

Step-by-step explanation:

f (x) = x2 + 2x - 37

using x = (-b±√ (b^2-4ac)) / 2a

x = (-2±√ (2^2-4 (1) (-37)) / 2 (1))

x = - 7.164 or 5.164

to gain profit she has to cater 5 meals