Challenge 1
Calculate remaining medication
Apply the hourly retention factor twice to the starting amount.
Application library0/4 attempted
A.9C·Algebra 1·Exponential Functions
Exponential Functions in the real world
Write and interpret exponential functions modeling growth and decay, f(x) = a·bˣ.
Transfer evidence, not just familiar practice
Correctly solve different fresh variations at least 24 hours after your first correct transfer response. Reviewing the same challenge again does not count as fresh retention evidence.
You can explore every situation now. Practice unlocks after you retain A.5C and A.8A.
Career · Healthcare and laboratory science
Clinical dosing and laboratory analysis
A clinician models how much medication remains after repeated hourly retention, and a laboratory technician tracks a sample whose mass halves every three days.
Why this TEKS matters
Exponential decay applies a constant factor to the current amount, with the exponent counting hours or multi-day half-life intervals.
Challenge 2
Predict sample mass
Evaluate the half-life model after nine days, which contains three half-life intervals.
Everyday life · Social media and home energy
Viral posts and solar batteries
A video's share count grows faster than a proposed doubling model, while a solar battery loses a fixed percentage of its stored charge each day.
Why this TEKS matters
An exponential model must match the observed growth factor, and a base between zero and one describes decay rather than growth.
Challenge 3
Audit a viral-sharing model
Compare the observed four-hour total with the doubling prediction and determine the fitting hourly factor.
Challenge 4
Interpret battery charge
Explain what the initial value and daily base predict about stored charge over time.