Problem
Practice Test: Exponential Functions IMCE3M 7. After being sprayed by ant-killer, the number of ants in a mound decreases by half (50\%) every hour. If there were originally $1,000,000$ ants in the mound... a) Determine a model for the amount of ants left after " $x$ " hours. \[ A=\left(-^{x}\right) \] b) How many ants are left after half of a day?
Solution
Step 1 ：a) The model for the amount of ants left after "x" hours is: \[A = 1,000,000 * (0.5^x)\]
Step 2 ：b) After half of a day (12 hours), there are approximately \(\boxed{244}\) ants left in the mound.
