Question

Meg uses ladybugs in her garden as a form of natural pest control. She just got a shipment of 1,000 ladybugs, and she plans to release about 5% of them next week and then 5% of the remaining ladybugs each week after that. You can use a function to describe how many unreleased ladybugs Meg will still have x weeks from now.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.

Answer 1

Each week she keeps 95% of the remaining ladybugs, so after x weeks the number remaining is
f(x) = 1000(0.95)^x,
an exponential function (x = 0,1,2,...).