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16 September, 18:19

A business owner buys lunch for employees once every month. The owner has bought lunch for 18

employees for the last three months and the total costs are shown

First month: $147.98

Second month: $152.17

Third month: $165.63

Write an equation that can be used to estimate y, the average monthly cost, in dollars, to buy lunch

for x employees.

Use your equation to estimate the total cost of a monthly lunch for 26 employees. Show your work or

explain your response.

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Answers (1)
  1. 16 September, 18:29
    0
    A) y = 8.63 x

    B) $224.38

    Step-by-step explanation:

    The the average monthly cost = (147.98+152.17+165.63) / 3 = $155.26

    So, For 18 employees the average monthly cost = $155.26

    Let the equation that can be used to estimate y, the average monthly cost, in dollars, to buy lunch for x employees. ⇒ y = mx

    For x = 18, y = $155.26

    So, m = y/x = $155.26/18 ≈ $8.63

    ∴ y = 8.63 x

    To find the total cost for 26 employees.

    ∴ x = 26

    ∴ y = 8.63 * 26 = 224.38

    The total cost of a monthly lunch for 26 employees = $224.38
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