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Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 197(1.25)x. Rewrite the function to show how quickly the weeds grow each day and calculate this rate as a percentage.

Respuesta :

Answer:

f(x)=197(1.0257)^7x

Step-by-step explanation:

f(x)=197(1.25)x  

To make this simpler when we manipulate, we will write it as:

f(x)=197(1+0.25)x

Now since that's the rate for a week, the daily rate of increase is 25% distributed over 7 days, right? Hence the new rate is 0.25/7=0.036. And since that's for a day, the power would be 7 TIMES every time the rate is compounded.

f(x)=197(1+0.257)^7x

or f(x)=197(1.0257)^7x

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