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28 October, 15:34

Annual sales for a restaurant were $575,000 in 2006. Since then, the sales increased at a rate of 3% per year. Write and use an exponential model to find the sales in 2018.

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  1. 28 October, 17:13
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    The correct answer is that the annual sales for 2018 is US$ 819,813 (Rounding to the whole nearest dollar)

    Step-by-step explanation:

    1. Let's review the data given to us for solving the question:

    Annual sales for a restaurant in 2006 = US$ 575,000

    Duration of the sales analysis = 12 years

    Annual sales increase rate = 3%

    2. Let's find the annual sales turnover after 12 years in 2018, using the following formula:

    Sales 2018 = Sales 2006 * (1 + r) ⁿ

    Sales 2006 = US$ 575,000

    number of periods (n) = 12

    rate (r) = 3% = 0.03

    Replacing with the real values, we have:

    Sales 2018 = 575,000 * (1 + 0.03) ¹²

    Sales 2018 = 575,000 * 1.42576089

    Sales 2018 = US$ 819,813 (Rounding to the whole nearest dollar)
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