LEARN · EXPLAIN · REVISE

A population is 800 and increases by 10% each year. Find it after two years.

Read the idea, work independently, then explain what changed.

TOPIC 01

Exponential and logarithmic functions: mixed assessment

A mixed assessment: identify the method, justify it and revise your reasoning.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Standard#Your turn

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Translate the context into an exponential or logarithmic equation and check what the model assumes.

Hint 2

The second percentage applies to the enlarged population.

Worked solution

Translate the context into an exponential or logarithmic equation and check what the model assumes.
Calculate or simplify this relation.
$800(1.1)^2=968$
This is compounding, not a single 20% increase.

The requested value is 968.

Checks and common pitfalls: This is compounding, not a single 20% increase.

Think first. Reveal a hint when the class is ready.

Teacher preparation and assessment