All courses Algebra I · A-SSE.1.a 13 of 76

Interpret terms, factors, and coefficients in linear and exponential expressions.

Interpret a coefficient as a rate or per-unit change

Problem

In $C~=~8t~+~20$, $C$ is cost in dollars and $t$ is the number of tickets. Interpret the coefficient as an output change and contextual rate.

Your answer

Show answer choicesHide answer choices Work through the mathematics first, then compare your reasoning.Select the answer that matches your work.

A The coefficient is 8: for each 1 ticket, C increases by $8, so the rate is $8 per ticket. B The coefficient is 20: for each 1 ticket, C increases by $20, so the rate is $20 per ticket. C The coefficient is 8: C does not change for each 1 ticket, so it is a constant $8 total. D The coefficient is 8: C increases by $8 for a fixed fee, so the rate is an $8 fee.

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Interpret a coefficient as a rate or per-unit change

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Hint

Solution walkthrough

Separate the variable term from the constant

Identify the coefficient and units

Verify the per-unit change

State the coefficient interpretation

Another way

Common mistake

Solution walkthrough video