Build quadratic and exponential functions from context using explicit formulas, recursive processes, or calculation steps.
Write an explicit function model from a verbal situation and evaluate it
Problem
A population starts at \(100~\text{people}\) and doubles each hour. Write an explicit function \(P(t)\), where \(t\) is time in hours, evaluate \(P(3)\) by showing the substitution, and interpret the result with units and a doubling-based reasonableness check.
Big Picture
What this problem is really about
The verbal model supplies an initial amount, a repeated factor, and an interval count. We’ll place those pieces into exponential form, substitute the requested elapsed time, interpret the output with population units, and reproduce it through successive doublings as a reasonableness check.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
