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Cheryl signs up for a savings account that guarantees an increase in her savings at a fixed rate of $15 per month. She plans to withdraw the money when it is more than twice the original amount of $200. Find the least number of complete months that Cheryl has to keep the money in the account for.

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JeanaShupp

Answer: 14 months.

Step-by-step explanation:

Given: Original amount = $ 200

Fixed rate of growth = $15 per month

Let x be the number of months that Cheryl has to keep the money in the account for.

Then, [tex]200+15x=2(200)[/tex]

[tex]\Rightarrow\ 200+15x>400\\\\\Rightarrow\ 15x >400-200\\\\\Rightarrow\ 15x>200\\\\\Rightarrow x>\dfrac{200}{15}\\\\\Rightarrow x>13.333333\\\\\Rightarrow\ x=14[/tex]

Hence, it will take 14 months .

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