Problem preview

A-CED.1 Warmup M2-002-A10-V03

Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.

Write and solve an exponential equation from a repeated-factor context

Problem

An account balance is $\$500$ at time $t=0~\text{years}$ and grows by a factor of $1.1~\text{each}~\text{year}$. Write and solve an exponential equation for the elapsed time when the modeled balance reaches $\$605$.

Answer choices

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Equation: 500+1.1t=605; elapsed time: t=1050/11 years.

Equation: 500(1.1)t=605; elapsed time: t=2 years.

Equation: 500(1.1)t=605; elapsed time: t=3 years.

Equation: 500(0.1)t=605; elapsed time: t=2 years.

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Curriculum context

Course: Math II
Standard: A-CED.1
Category: Algebra
Domain: Creating Equations
Objective: Create and solve one-variable equations and inequalities, including absolute-value, linear, quadratic, simple rational, and exponential cases.
Problem type: Write and solve an exponential equation from a repeated-factor context