Question

Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents the weekly weed growth: f(x) = 86(1.08)x. Rewrite the function to show how quickly the weeds grow each day.

Answer 1

Answer:

  g(x) = 86·1.011055^x

Step-by-step explanation:

So we don't confuse ourselves, we'll call the growth function by day g(x). If x is to represent days, then x/7 represents weeks, and we can write ...

  g(x) = f(x/7) = 86·1.08^(x/7)

  g(x) = 86·(1.08^(1/7))^x

  g(x) = 86·1.011055^x