Question

Sales of the smart phone continued to grow exponentially beyond 2011.

In 2010, approximately 39.99 million smartphones of this brand were sold worldwide.
In 2011, approximately 72.9 million smartphones of this brand were sold worldwide.
In which year did the number of smartphones the brand sold exceed 200 million?

Answer 1

Answer: This question can be solved using exponential growth formula:

N = N0 * e^(rt)

Where N is the number of smartphones, N0 is the initial number, r is the growth rate, t is the number of years and e is the base of the natural logarithm (approximately equal to 2.718).

First, we need to find the growth rate:

r = (ln(N/N0)) / t

Using the data from 2010 and 2011:

r = (ln(72.9/39.99)) / 1

Next, we can find the year when the number of smartphones sold exceed 200 million:

N = 200 million

N0 = 39.99 million

t = (ln(N/N0)) / r

t = (ln(200/39.99)) / r

To find the year, we need to add t to the initial year 2010.

The number of smartphones the brand sold exceeded 200 million in the year 2023.

Explanation: