In the month of January, a cerlain restaurant claimed it sold 9,000 burgers and expects sales to grow at a rate of
per month over the next year. Which formula will determine the number of burgers the restaurant expects to
sell this year?

To calculate the projected burger sales over a year with a growth rate of , you would use the formula for the sum of a geometric series. This translates into expecting sales of burgers in January, which grows by factor each month for the next 12 months. Thus, the correct formula intuits that sales start in January (month 0), making the first option fit perfectly.

The chosen formula captures the increase over each month across the year, leading to a robust total at the end. It’s essentially saying, “Let’s take that delicious batch of burgers and see how they multiply month by month!”

This growth model is commonly used in business forecasting. Companies often employ such exponential growth formulas to anticipate changes in sales, understanding that with consistent quality and marketing, customer interest can grow rapidly over time. In this case, effective marketing and continuous quality improvement could lead to astonishing sales growth!