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the number of gadgets sold in 2000 were 10 000 and in 2002, 82700 gadgets were sold growing exponentially. What year would the sales reach 500 000?

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Number of gadgets sold with exponential growth =

10 000 in 2000

82700 in 2002

500 000 in what year

Form: y = ab^x

Solve for a and b.

—————————

82700 = ab^2

10000 = ab^0

a = 10000

—

b^2 = 82700/10000

b^2 = 8.27

b = 2.8757

—–

Equation:

y = 10,000*2.8757^x

—

Solve 10,000*2.8757^x > 500,000

2.8757^x > 50

x*log(2.8757) > log50

x > 3.7035 years

——

Year 2000 + 3.7 = year 2004