Problem preview

F-BF.1.a Warmup M2-014-A11-V04

Build quadratic and exponential functions from context using explicit formulas, recursive processes, or calculation steps.

Choose whether a context is modeled by a quadratic or an exponential function

Problem

Classify a bacteria count that triples every hour. Express the repeated change recursively and explicitly from starting amount \(B_{0}\), then explain why the constant ratio identifies the model type.

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It is best modeled by a quadratic function because the number keeps increasing faster over time, so the pattern must be quadratic.

It is best modeled by an exponential function because each hour the amount is multiplied by the same factor, 3.

It is best modeled by an exponential function because any situation that changes over time is exponential.

It is best modeled by a quadratic function because tripling means adding 3 more each hour.

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Curriculum context

Course: Math II
Standard: F-BF.1.a
Category: Functions
Domain: Building Functions
Objective: Build quadratic and exponential functions from context using explicit formulas, recursive processes, or calculation steps.
Problem type: Choose whether a context is modeled by a quadratic or an exponential function