Ask Question
2 February, 19:53

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. x > 0 and y > 0 0 < x ≤ 12 and 0 0 and y < 23

+4
Answers (1)
  1. 2 February, 20:20
    0
    0 < x ≤ 12 and 0 < y ≤ 36

    Step-by-step explanation:

    Here, x represents the number of female gazelles and y represents the number of male gazelles.

    The zoo only has room for 12 female gazelles.

    ∵ The number of rooms must be more than or equal to the total female gazelles,

    12 ≥ x

    Also, number of animals can not be negative,

    And, it must be greater than 0.

    ⇒ 0 < x ≤ 12,

    ⇒ 3 (0) < 3x ≤ 3 (12)

    ⇒ 0 < 3x ≤ 36

    ∵ Number of males gazelles = 3 * number of female gazelles

    ⇒ y = 3x

    ⇒ 0 < y ≤ 36

    Hence, the constraints to represent a thriving population of gazelles at the zoo are,

    0 < x ≤ 12,

    0 < y ≤ 36
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A zookeeper is monitoring the population of gazelles. The herd needs three times more males than females to thrive, and the zoo only has ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers