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The number of subscribers, f(t), to a website after t years is shown by the equation below: f(t) = 50(1.75)t. Which conclusion is correct about the number of subscribers to the website?

1) It increased by 75%
2) It decreased by 75%
3) It increased by 175%
4) It decreased by 175%

User SparcU
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1 Answer

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Final answer:

The number of subscribers to the website increased by 75% annually as indicated by the exponent 1.75 in the function f(t) = 50(1.75)^t.

Step-by-step explanation:

The student is provided with the function f(t) = 50(1.75)^t, which indicates the number of subscribers to a website after t years. The function represents exponential growth, where the base of the exponent, 1.75, indicates the rate of increase each year. Since 1.75 can be thought of as 175%, the number indicates an increase of 75% over the initial amount each year; that is 1.00 (the initial 100%) + 0.75 (the increase). This means that the conclusion about the number of subscribers to the website is that they increased by 75% annually.

User LShi
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