Linear vs Exponential Models — Strategy & Common Mistakes
A focused companion to the main Linear vs Exponential Models topic page on SAT Math.
SAT Math Problem-Solving & Data Analysis Strategy guide
Below is a focused strategy guide for Linear vs Exponential Models on the SAT math section. Decide whether a real situation is best modelled by a linear or an exponential function. The advice here is specific to this topic and to the broader Problem-Solving & Data Analysis category — the patterns that matter, the mistakes that cost the most points, and the sequence to follow when this question type shows up on test day.
Mindset for this topic
PSDA rewards careful reading. Most wrong answers come from misreading the data table or the question stem, not from misunderstanding the math. Slow down on the prompt; speed up on the calculation.
For Linear vs Exponential Models specifically, that mindset translates into one rule: read the prompt twice before you write a single symbol. Most students who miss this question type miss it because they jumped to a calculation before they understood what was being asked. The SAT loves to phrase a Linear vs Exponential Models question in a way that sounds like a different topic — a word problem, a diagram, a function in disguise. Slow on the read, fast on the math.
The four most common mistakes on Linear vs Exponential Models
- Confusing percent of with percent more than (a 20% increase is not the same as a final value of 20%).
- Reading rows as columns or vice versa in two-way tables.
- Computing mean when the question asks for median, or vice versa — circle the statistic name in the prompt.
- Forgetting that probability questions involving "given" need the conditional formula P(A | B) = P(A ∩ B) / P(B).
If you keep a personal "leak list" (we recommend it on the study tips page), add the one mistake from the list above that you have made most recently. Re-read it before every practice session for two weeks; you will stop making it.
The recommended workflow
Underline the question. Identify the relevant data points. Compute. Compare to answer choices. If a choice is exactly your value but in different units, you converted wrong.
Run this workflow on every Linear vs Exponential Models question you attempt. The first ten times it will feel slow. By the twentieth question it will be automatic, and your accuracy on this topic will jump by 10–20 points worth of raw score.
Pacing
PSDA questions are reading-heavy. Budget 90–110 seconds; the bulk of that is reading, not arithmetic. On a SAT that mixes question types, you do not want to be the student who spent 3 minutes on a Linear vs Exponential Models question and ran out of time on questions you would have nailed.
What to do next
Open the main Linear vs Exponential Models topic page and re-attempt the six worked questions with this strategy in mind. If you still miss any, use the Linear vs Exponential Models cheatsheet as a one-page reminder, and revisit our Problem-Solving & Data Analysis formula sheet until the formulas are automatic.