Problem preview

A-SSE.1.a Warmup M1-013-A01-V03

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

Interpret a coefficient as a rate or per-unit change

Problem

In $P~=~12w~+~100$, $P$ is pay in dollars and $w$ is time in weeks. Interpret the coefficient as an output change and contextual rate.

Answer choices

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The coefficient is 12: it means starting pay of $12 at 0 weeks.

The coefficient is 12: P does not change for each 1 week, so it is a constant $12 total.

The coefficient is 12: for each 1 week, P increases by $12, so the rate is $12 per week.

The coefficient is 100: for each 1 week, P increases by $100, so the rate is $100 per week.

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Curriculum context

Course: Math I
Standard: A-SSE.1.a
Category: Algebra
Domain: Seeing Structure in Expressions
Objective: Interpret terms, factors, and coefficients in linear and exponential expressions.
Problem type: Interpret a coefficient as a rate or per-unit change