Final answer:
The correct statement about projected sales for Garland Corporation, expected to grow exponentially, is C) The sales are anticipated to grow rapidly. Exponential growth entails that growth rates remain consistent in percentage terms, requiring higher actual increases each period.
Step-by-step explanation:
The sales of Garland Corporation are projected to grow exponentially between 2010 and 2015. Given that the sales are expected to reach between $110 million to $160 million, the statement that is most likely true about the sales projection is C) The sales are anticipated to grow rapidly.
Exponential growth means that the amount of increase is proportional to the current amount, which implies a consistent percentage growth over time rather than a steady numerical increase. To maintain the same growth rate, the actual increase in sales would need to be larger each period, much like getting a higher dollar raise each year to maintain a constant percentage raise. This is opposite to a linear growth, where a constant change over time indeed yields a decreasing growth percentage.
Graphs are frequently used to display data graphically and to interpret growth trends. They provide a visual representation of relationships and patterns in numerical data, making it easier to understand and analyze trends such as exponential growth.