Question

Moore's Law predicts that the number of transistors that can be fit on a microchip will increase by 41% every year. If microchips from a given year could hold about 606,020 transistors, how many transistors could fit on a microchip 8 years later?If necessary, round your answer to the nearest whole number.

Answer 1

We can model the following exponential growth:

$y=606,020(1+\frac{41}{100})^x$

Where x represents the time and y the number of transistors.

We're asked to find y such that x=8. For this, we just replace:

$\begin{gathered} y=606,020(1.41)^8 \\ y=9,467,599 \end{gathered}$

Therefore, 9,467,599 transistors could fit into a microchip 8 years later.