Ask Question
2 August, 00:19

Isabel is buying 6 angelfish, and she wants her total to be no more than $2 above or below $36. Which inequality models the cost x, in dollars, of an angelfish?

A) |36+6x|<2

B) |6x+2|<36

C) |6x-2|<36

D) |36-6x|<2

(each < has a line under it)

+2
Answers (1)
  1. 2 August, 00:26
    0
    Number of fish to be bought = 6

    Price of each fish = x

    ⇒ Total price of fish bought = 6x

    We know that the total cost can not be $2 more or less than $36

    ⇒ 36-2 ≤ 6x ≤ 36+2

    ⇒ 34 < 6x ≤ 38

    Let's look at all the options and see which equation matches the above inequality.

    A) |36+6x| ≤ 2

    Since the above is a mod function, it can be written as:

    ⇒ - 2 ≤ 36+2x ≤ 2

    ⇒ - 38 ≤ 2x ≤ - 34

    ⇒ - 19 ≤ x ≤ - 17

    This doesn't match with the above. Hence, this is not the correct option.

    B) |6x+2| ≤ 36

    ⇒ - 36 ≤ 6x+2 ≤ 36

    ⇒ - 38 ≤ 6x ≤ 34

    This also doesn't match with the required inequality. Hence, this option is not correct

    C) |6x-2|<36

    ⇒ - 36 ≤ 6x-2 ≤36

    ⇒ - 34 ≤ 6x ≤ 38

    This also doesn't match with the required inequality. Hence, this option is not correct

    D) |36-6x| ≤ 2

    ⇒ - 2 ≤ 36-6x ≤ 2

    ⇒ - 38 ≤ - 6x ≤ - 34

    Multiplying the above by - 1

    ⇒ 38 ≥ 6x ≥ 34

    or 34 ≤ 6x ≤ 38

    This inequality matches with the required one. Hence, D is the correct option.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Isabel is buying 6 angelfish, and she wants her total to be no more than $2 above or below $36. Which inequality models the cost x, in ...” 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