KEEF 6.

asked • 08/01/19

PLEASE HELP ME ASAP AS SOON AS POSSIBLE

A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo only has room for 12 female gazelles. Let x = the number of female gazelles and y = the number of male gazelles. Write the constraints to represent a thriving population of gazelles at the zoo.

A.x > 0 and y > 0 

B.0 < x ≤ 12 and 0 < y ≤ 36

C.0 < x ≤ 12 and y > 36

D.x > 0 and y < 23

2 Answers By Expert Tutors

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Quang T. answered • 08/02/19

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4.9 (21)

GIS Professional with experience in Python and Data Engineering

Keith B.

tutor
Quang, I believe you are mistaken. With choice B you can have a set of values that does not satisfy the condition for the population to thrive, e.g. X = 4 and Y = 8. These values are allowed within the constraints dictated by choice B, however with these values Y is not greater than 3X. Choice C is the only solution that is always correct, as the population of female gazelles X MUST be between 0 and 12, and the population of gazelles Y MUST be greater than 3*12 to ensure that the population thrives.
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08/02/19

Quang T.

The question does not say greater than 3 times the females. It says for a thriving population, males need to be 3 times the amount of female. If we're being liberal with the wording, a thriving population needs at least 3 times the amount of female. Regardless of which two interpretation you agree with, when there are 12 female gazelles there will be an instance where there are 36 male gazelles. Choice C says there can never be 36 male gazelles which is not true. Thrive = x + y = x +3 x. If x is 12, y equals 36 which choice C says is impossible; not true. The constraints of the two variables have no direct relation to each other. They have a relationship with the formula/equation.
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08/02/19

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