Skip to content
Math Sheet Studio
GeneratorWorksheets by gradePrintablesBlogPricing
GeneratorWorksheets by gradePrintablesBlogPricing
Math Sheet Studio

Printable math worksheets you can fix one question at a time.

Product

GeneratorPricingAll topicsBy Common Core standardBlog

Worksheets

KindergartenGrade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8Algebra 1GeometryAlgebra 2Calculus

Company

ContactPrivacyTerms
© 2026 Math Sheet StudioPrivacy · Terms

Build a worksheet

Changes apply to unlocked questions.

Describe it

We pick the skills and settings; every question and answer is still computed, so the key stays correct.

Templates

Unit test: 20 questions, easy to hard, 2 points each, roomy spacing. Keeps your selected skills.

Choose skills

Limits

Derivatives

Applications of derivatives

Integrals

Differential equations

Each skill gets its own section. Up to 8 skills per sheet.

Number of questions
Difficulty

Finding k from a doubling time

More options
Layout
Working space

Prints the total on the score line and a scoring table on the answer key.

Number options

Applies to new and unlocked questions. Questions you edited by hand are left as typed.

Customize sections

Set each section’s count and difficulty. Use the arrows to change its position. Locked questions stay in selected sections; unlock them to reduce counts or change their difficulty.

1. Exponential growth and decay models (dy/dt = ky)

Planned: 12 / 60 questions

12 questionsSign in to download PDFsSettings
Name ______________________Date ____________Score ____ / 12

Exponential growth and decay models (dy/dt = ky) practice

Exponential growth and decay models (dy/dt = ky) · 1–12

Use y = y₀e^(kt). Round to the nearest hundredth.

Hard
1.A population growing by dy/dt = ky doubles every 14 years. Find k.
Hard
2.A population growing by dy/dt = ky doubles every 15 years. Find k.
Hard
3.A population growing by dy/dt = ky doubles every 8 years. Find k.
Hard
4.A population growing by dy/dt = ky doubles every 28 years. Find k.
Hard
5.A population growing by dy/dt = ky doubles every 29 years. Find k.
Hard
6.A population growing by dy/dt = ky doubles every 24 years. Find k.
Hard
7.A population growing by dy/dt = ky doubles every 21 years. Find k.
Hard
8.A population growing by dy/dt = ky doubles every 22 years. Find k.
Hard
9.A population growing by dy/dt = ky doubles every 3 years. Find k.
Hard
10.A population growing by dy/dt = ky doubles every 18 years. Find k.
Hard
11.A population growing by dy/dt = ky doubles every 10 years. Find k.
Hard
12.A population growing by dy/dt = ky doubles every 9 years. Find k.

Answer key — Exponential growth and decay models (dy/dt = ky) practice

Exponential growth and decay models (dy/dt = ky)

1.k ≈ 0.0495
2.k ≈ 0.0462
3.k ≈ 0.0866
4.k ≈ 0.0248
5.k ≈ 0.0239
6.k ≈ 0.0289
7.k ≈ 0.0330
8.k ≈ 0.0315
9.k ≈ 0.2310
10.k ≈ 0.0385
11.k ≈ 0.0693
12.k ≈ 0.0770

Made with Math Sheet Studio · mathsheetstudio.com — free printable math worksheets

mathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.com