We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The function that shows how quickly the weeds grow each day is [tex]f(x) = 197(1. 25)^{7x}[/tex] and the weed grows at a rate of approximately 3% daily
The standard form of an exponential function is given as y = ab^x
Given the exponential function that shows the rate at which the weed grew each day expressed as g(x) = 197(1. 25)^x
- x is the time in weeks
- Since there are 7 days in a week, the time will in the day will be expressed as 7x where x is in days.
Substitute x as 7x in the given exponential function to have:
[tex]f(x) = 197(1. 25)^{7x}[/tex]
If the growth rate was 25% each week, then;
0.25 = 7 days
x = 1 day
7x = 0.25
x = 0.25/7
x = 0.0357
Hence the weed grows at a rate of approximately 3% daily
Learn more on exponential function here: https://brainly.com/question/12940982
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