Question

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.

Answer 1

The weekly weed growth function can be converted to a daily growth function by dividing the weekly growth rate by 7. The daily growth rate is approximately 0.18 or 18%.

Step-by-step explanation:

The original function f(x) = 197(1.25)^x represents the weekly weed growth, where x is the number of weeks. To calculate the daily growth rate, you need to convert the weekly growth rate to a daily growth rate. Since there are 7 days in a week, you can divide the weekly growth rate by 7 to get the daily growth rate. So the daily growth rate is 1.25/7 = 0.17857, which is approximately 0.18.

To express this as a percentage, you multiply the daily growth rate by 100. So the daily growth rate as a percentage is 0.18 * 100 = 18%.