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27 November, 01:12

Solve the following Word Problems:

1. Marietta was given a raise of $0.75 per hour, which gave her a new wage of $12.25 per hour. Write and solve an equation to determine Marietta's hourly wage before her wage. (Show which properties you used in each step)

2. The formula p=8n-30gives the profit p when a number of items n are each sold at $8 and expenses totaling $30 are subtracted.

a. If the profit is $170, how many items were bought?

b. If the same number of items were bought but the expenses were changed from $30 to $40, would the profit increase or decrease and by how much? Explain.

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  1. 27 November, 01:36
    0
    1. $11.50 2a. 25 2b. Decrease by 10

    Step-by-step explanation:

    1. Let's write Marietta's wage before a raise as x

    $12.25 = x + $0.75

    $12.25 - $0.75 = x

    x = $11.50

    2a. Let's substitute p with the actual value ($170)

    170 = 8n - 30

    200 = 8n

    n = 200/8 = 25

    2b.

    p = 8*25 - 40

    p = 200 - 40 = 160

    160 < 170 so the profit decreased

    It decreased by 10 (170 - 160).
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