Additive versus multiplicative change

Additive versus multiplicative change

Learn to distinguish linear growth from exponential growth by examining what stays constant across equal input intervals. This precalculus practice connects tables, repeated percentage changes and formulas so that choosing a model becomes a reasoning decision.

Compare constant differences with constant ratios, translate a percentage increase or decrease into a multiplier, and build rules with the correct initial value and time interval. Questions also distinguish exponential functions from power functions, explore multi-step changes and test what happens when a fixed amount is added to a multiplicative model.

Prerequisites include fractions, percentages, integer exponents and basic linear models. The bank develops from recognition to calculation, transfer and error analysis, with both single-select and multiselect questions. Each problem is independent and can be attempted on scratch paper before reading the options.

Worked explanations show the defining comparison and check it against the original information. No logarithms or calculus are needed. All numerical contexts are hypothetical, and an exponential rule is used only under the assumptions stated in the prompt; a short data table does not establish unlimited real-world growth.