Problem preview

A-SSE.1.a Warmup M2-008-A08-V03

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

Interpret a circle equation as a solution set

Problem

Interpret the base \(2\) in \(B(t)=12\cdot~2^t\). Distinguish multiplication from addition, state the retained percentage, and determine the percent increase per interval.

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Base 2: decay because the base is read as 2%; each interval multiplies by 0.02; 2% is retained; the change is −98% per interval.

Base 2: growth because it is greater than 1; each interval adds 2; 200% is retained; the change is +100% per interval.

Base 2: growth because it is greater than 1; each interval multiplies by 2; 200% is retained; the change is +100% per interval.

Base 2: growth because it is greater than 1; each interval multiplies by 2; 2% is retained; the change is +198% per interval.

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Curriculum context

Course: Math II
Standard: A-SSE.1.a
Category: Algebra
Domain: Seeing Structure in Expressions
Objective: Interpret terms, factors, and coefficients in quadratic and exponential expressions.
Problem type: Interpret a circle equation as a solution set