Question

Moore's Law predicts that the number of transistors that can be fit on a microchip willincrease by 41% every year. If microchips from a given year could hold about 949,000transistors, how many transistors could fit on a microchip 7 years later?If necessary, round your answer to the nearest whole number.transistors

Answer 1

The equation of a exponential growth function is equal to:

`y=a(1+r)^x`

Where:

y = the number of transistors

x = the number of years = 7 years

a = the initial value = 949,000

r = the rate of change = 41% = 0.41

Substitute the values:

`y=949000(1+0.41)^7=949000(1.41)^7=10514775.41`

Round to the nearest whole number: 10,514,775

Answer: 10,514,775 transistors