Question

The nationwide average salary of a computer programmer can be modeled by the equation , where y is the salary in thousands of dollars and n is the number of years since 1990.Graph the function. Then, using this model, predict the average programmer’s salary in 2010.

Answer 1

Given equation is,

$y=31.8\times(1.06)^n$

Where, n is the number of years since 1990.

To find the average programmer’s salary in 2010.

Let us find the number of years between 1990 and 2010.

So, n=20

Substitute n=20 in the above equation we get,

$\begin{gathered} y=31.8\times(1.06)^{20} \\ =101,986.9 \\ \approx102,000 \end{gathered}$

Hence, the average programmer’s salary in 2010 is $102,000.

Hence, the correct option is A.