SAT Math / Functions

Linear vs. Exponential

Part of the full libraryOpens January 2, 2027 · $97 for a year
What’s included
functionA rule that assigns exactly one output to each allowed input.

You’ll leave with these skills

  1. Turn a percent increase or decrease into a multiplierWrite the percent as a decimal and add it to one for growth or subtract it from one for decay.
  2. Tell whether a situation is linear or exponentialCheck whether the amount changes by the same number each step, which is linear, or by the same percent, which is exponential.
  3. Write an exponential decay model from a table of valuesFor equally spaced inputs, divide each output by the previous output. If the ratio is constant, write the starting output multiplied by that ratio raised to the number of equal input steps.
  4. Find when exponential growth passes linear growthGraph both models in Desmos and find the x-value where the exponential curve crosses above the line.

This lesson is part of the full library

207 lessons that teach every skill the SAT tests
  • 71Math
  • 40Reading
  • 24Grammar
  • 10 full-length practice tests to build test-day stamina and confidence
  • A Desmos simulator to solve math questions faster
  • A step-by-step guide to every practice test question
  • The Bluebook Simulator, so test day feels familiar
  • A drawing for every key term, so new ideas make sense at a glance

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