Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for an exponential models with differential equations quiz? Then this Algebra 2 quiz on Exponential Models: Growth, Decay, and Interest asks 10 multiple-choice questions with instant feedback.
Ten multiple-choice questions on exponential growth and decay, compound interest, half-life, and doubling time. Decide the factor first, and check whether the quantity should grow or shrink.
Standards: F-IF.C.8b, F-LE.A.4, F-LE.B.5 · Level: Grade 11 Algebra 2
What this Exponential Models: Growth, Decay, and Interest quiz checks
- y = a · bt: a is the initial value and b the growth or decay factor.
- A percent increase of r gives b = 1 + r; a percent decrease gives b = 1 − r.
- Compounded n times a year: A = P(1 + r/n)nt. Continuous: A = Pert.
- Half-life models use (1/2)t/h; doubling models use 2t/d.
- More frequent compounding earns more, but continuous compounding sets an upper limit.
The 10 questions of the quiz
- What is the growth factor for a quantity that increases by 6.5% each year?
- A value drops 12% each year. What is its yearly decay factor?
- Which expression gives the value of $800 at 3% compounded monthly for 2 years?
- A 64-gram sample has a half-life of 10 days. How much remains after 30 days?
- The graph shows an exponential function through (0, 3), (1, 6), and (2, 12). What is the growth factor?
- Which formula models continuous compounding?
- A population of 100 doubles every 5 years. What is it after 15 years?
- The graph shows y = 50(0.9)t. What is the percent decay rate per hour?
- The model P(t) = 500(1.02)t describes a town. What does 1.02 tell you?
- Which account earns the most from $2,000 at 4% over 15 years?
After the quiz
Missed a question? Reread the Exponential Models: Growth, Decay, and Interest lesson, then take the quiz again. Next, solve the Algebra 2 worksheet on Exponential Models: Growth, Decay, and Interest, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.