The price of a cellular phone declines by 33 percents of its current value every year. at this rate, approximately how many years will it take for the price of a $243 cell phone to reach $72?

Every year, the price of the smartphone is the of the price of the previous year (since we lose the , we remain with the ).

Since can be written as , the price after one year will be

After two years, the price is the of the price after one year:

And so on: after three years we have

So, the answer is somewhere between three and four years.

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step-by-step explanation:

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