Question

Let the function () = 1727.93 reflect the growth of the number of smartphones shipped 1+9.21−0.65 from manufacturers to stores around the world, where t is the number of years since 2009 and () is measured in millions. Find the y

Answer 1

To find the value of y for a specific value of t, you can substitute the given value of t into the function:

\(y(t) = 1727.93 \cdot (1 + 9.21 - 0.65)^t\)

If you have a specific year in mind (t), you can calculate y by plugging in that value. For example, if you want to find the number of smartphones shipped in 2015 (which is 6 years after 2009), you would substitute t = 6 into the equation:

\(y(6) = 1727.93 \cdot (1 + 9.21 - 0.65)^6\)

\(y(6) = 1727.93 \cdot (9.56)^6\)

\(y(6) ≈ 1727.93 \cdot 48874.1\)

\(y(6) ≈ 84,462,853.33\)

So, according to the function, approximately 84.46 million smartphones were shipped in 2015.

Explanation: