Let's pretend we are living "in a perfect world!" Suppose Apple sold 0.1 million phones on their opening weekend in 2007. Then, each year after that, their iPhone sales TRIPLED. Write an equation (in function notation!) to represents this scenario. Note: Use fxto be able to see you equation on the graph.
Question
Let's pretend we are living "in a perfect world!" Suppose Apple sold 0.1 million phones on their opening weekend in 2007. Then, each year after that, their iPhone sales TRIPLED. Write an equation (in function notation!) to represents this scenario. Note: Use fxto be able to see you equation on the graph.
Solution
The scenario described is an example of exponential growth, where the number of iPhones sold triples each year. We can represent this with the function f(x) = 0.1 * 3^x, where x is the number of years after 2007.
Here's the breakdown:
- f(x) represents the number of iPhones sold in millions.
- 0.1 is the initial amount of iPhones sold in 2007.
- 3 is the growth rate, as the sales triple each year.
- x is the number of years after 2007.
So, the function f(x) = 0.1 * 3^x represents this scenario.
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