Unit 5, Lesson 3
Understanding Rational Inputs
Algebra 2
Practice
Problem 1
Select all solutions to \(m \boldcdot m \boldcdot m = 104\).
\(\sqrt{104}\)
\(\frac{104}{3}\)
\(\frac {\sqrt {104}}{3}\)
\(\frac{1}{3}\sqrt{104}\)
\(104^{\frac{1}{3}}\)
\(\sqrt[3]{104}\)
Problem 2
In a pond, the area that is covered by algae doubles each week. When the algae is first spotted, the area it covered is about 12.5 square meters.
- Explain why we can find the area covered by algae 1 day after it was spotted by multiplying 12.5 by \(\sqrt[7]{2}\).
- Find the area, in square meters, covered by algae 10 days after it is spotted. Show your reasoning.