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9 April, 02:53

Which situation can be modeled by the inequality 5 + 10w ≥ 45?

A. You start with $5 and save $10 a week until you have at least $45.

B. You start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards.

C. You start with 5 water bottles and purchase cases of 10 water bottles each until you have a total of 45 water bottles.

D. You spend $5 plus $10 per week until you have less than $45.

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Answers (2)
  1. 9 April, 02:54
    0
    You start with $5 and save $10 a week until you have at least $45.

    100% Correct
  2. 9 April, 03:10
    0
    The situation can be modeled by the inequality is:

    You start with $5 and save $10 a week until you have at least $45 ⇒ A

    Step-by-step explanation:

    The form of the linear equation is y = m x + b, where

    m is the rate of change (constant value per period) b is the initial value (value y at x = 0) If y is at least a, that means y ≥ a (m x + b ≥ a) If y is at most a, that means y ≤ a (m x + b ≤ a)

    ∵ 5 + 10 w ≥ 45

    ∵ b + m x ≥ a

    ∴ b = 5, m = 10, ≥ is at least and a = 45

    That means:

    → The initial value is 5

    → The rate of change is 10

    → The value is at least 45

    ∴ You start with $5

    ∴ You save $10 per week

    ∴ You have at least $45

    The situation can be modeled by the inequality is:

    You start with $5 and save $10 a week until you have at least $45.
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