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.

f(x) = 197(1.25)7x; grows at a rate of approximately 2.5% daily
f(x) = 197(1.257)x; grows at a rate of approximately 4.77% daily
f(x) = 197(1.03)x; grows at a rate of approximately 0.3% daily
f(x) = 197(1.03)7x; grows at a rate of approximately 3% daily

1 answer

The correct function to represent the daily weed growth would be:

f(x) = 197(1.03)^x

To calculate the daily growth rate as a percentage, we need to find the value of (1.03)^1:

1.03^1 ≈ 1.03

This means that each day, the weeds grow by approximately 3% of the previous day's total.