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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) = 1
the function to show how quickly the weeds grow each day and calculate this rate as a percentage.



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 Fx 1 The Functi class=

Sagot :

Answer:

D

Step-by-step explanation:

This question is written very poorly because it is hard to know what x represents, as well as the end equation. I have come to the conclusion that x represents the amount of days and the end equation represents the exact same equation given (as it asks to rewrite the equation)

So, it is obvious that only one equation matches the one given -- as (1.03)^7 is approximately 1.23, which is close enough to 1.25 (compared to the other options), D is our answer

A and B have both 1.25^7 = around 4.77 (480% ish), and C has 1.03^x, which is not very close to 1.25

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