Math Ladder

Exponential growth and decay worksheets Grade 11

Doubling time, half-life and compound interest problems.

The front of the free exponential growth and decay worksheet

Free · Worked example · 20 problems · Answer key · US Letter

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How to do it

Doubling: multiply by 2 for each doubling time. Half-life: halve for each half-life. Interest: multiply by (1 + rate) each year.

Example problems

  1. $5000 is invested at 50% interest, compounded once a year. How many dollars is it worth after 2 years?
  2. A town of 300 people doubles in size every 5 years. How many people live there after 15 years?
  3. $2000 is invested at 10% interest, compounded once a year. How many dollars is it worth after 2 years?
  4. A sample of 160 grams has a half-life of 6 days: every 6 days, half of it is left. How many grams are left after 18 days?

Exponential and logarithmic functions

  1. Solving exponential equations with a common base
  2. Evaluating logarithms
  3. Solving logarithmic equations with the definition
  4. Logarithm rules with numbers
  5. Expanding and condensing logarithms
  6. Change of base formula
  7. Solving exponential equations with logarithms
  8. Solving logarithmic equations
  9. Exponential growth and decay