Question

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.

Answer 1

$819,812.50

Explanation:

Shouldn't round in this case because they're asking for the numerical value of money which the .50 in cents is vital to the problem.

Answer 2

The correct answer is that the annual sales for 2018 is US$ 819,813 (Rounding to the whole nearest dollar)

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)