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21 July, 12:26

Choose a relationship model that will reach $0 in the same number of days as this scenario: Mika has $12 and spends $2 each day. y = - 2x - 12 y = - 3x + 18 y = - 4x + 12 y = - 12x + 2

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Answers (2)
  1. 21 July, 15:06
    0
    Model (2) has the same number of days as Mika

    Step-by-step explanation:

    - The relationship models are:

    → y = - 2x - 12 ⇒ (1)

    → y = - 3x + 18 ⇒ (2)

    → y = - 4x + 12 ⇒ (3)

    → y = - 12x + 2 ⇒ (4)

    - We need to find the relationship model that will reach $0 in the

    same number of days as this scenario:

    Mika has $12 and spends $2 each day

    - The rate of spends of Mika is $2 per day

    ∵ x is the number of days

    ∵ y is the amount of money after x days

    ∵ Mika has $12

    ∵ Mika spends $2 each day

    ∴ y = - 2x + 12

    - We need to know the amount of money will be $0 after how

    many days

    - Put y = 0

    ∴ 0 = - 2x + 12

    - Subtract 12 from both sides

    ∴ - 12 = - 2x

    - Divide both sides by - 2

    ∴ x = 6

    ∴ Mika will have $0 after 6 days

    - Let us do the same in each model to find x and then find which of

    them have the same x as Mika

    → Model (1)

    ∵ 0 = - 2x - 12

    - Add 12 to both sides

    ∴ 12 = - 2x

    -Divide both sides by - 2

    ∴ x = - 6

    → Model (2)

    ∵ 0 = - 3x + 18

    - Subtract 18 from both sides

    ∴ - 18 = - 3x

    -Divide both sides by - 3

    ∴ x = 6

    → Model (3)

    ∵ 0 = - 4x + 12

    - Subtract 12 from both sides

    ∴ - 12 = - 4x

    -Divide both sides by - 4

    ∴ x = 3

    → Model (4)

    ∵ 0 = - 12x + 2

    - Subtract 2 from both sides

    ∴ - 2 = - 12x

    -Divide both sides by - 12

    ∴ x = 1/6

    * Model (2) has the same number of days as Mika
  2. 21 July, 15:22
    0
    y = - 3x + 18
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