Illustrative Math - Algebra 2 - Unit 4 - Lesson 6

By Formative Library

Last updated about 1 year ago

7 Questions

A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximate the population, p, as a function of time in days, t, since the population was 1,500.

p(t)=1,5000*3^{t}

p(t)=1,5000*3^{\frac{t}{7}}

p(t)=1,5000*3^{7}t

p(t)=1,5000*(3^{\frac{1}{7}})^{t}

N.RN.1

A.SSE.1.a

F.IF.8.b

F.LE.2

A.SSE.1.b

The tuition at a public university was $21,000 in 2008. Between 2008 and 2010, the tuition had increased by 15%. Since then, it has continued to grow exponentially.

Select all statements that describe the growth in tuition cost.

The tuition cost increased about 7.2% each year.

The tuition cost can be approximated by the function f(d)=21,000*2^{d} , where d represents decades since 2008.

The tuition cost can be defined by the function f(y)=21,000*(1,15)^{frac{y}{2}}, where y represents years since 2008.

The tuition cost increased 7.5% each year.

The tuition cost roughly doubles in 10 years.

N.RN.1

A.SSE.1.a

F.IF.8.b

F.LE.2

A.SSE.1.b

Here is a graph that represents g(x)=a*b^{x}. Find the values of a and b.
 Show your reasoning.

N.RN.1

A.SSE.1.a

F.IF.8.b

F.LE.2

A.SSE.1.b

The value of a home increases by 7% each year. Explain why the value of the home doubles approximately once each decade.

N.RN.1

A.SSE.1.a

F.IF.8.b

F.LE.2

A.SSE.1.b

Here is the graph of an exponential function f.
The coordinates of A are (\frac{1}{4},3). The coordinates of B are (\frac{1}{2},4.5). If the x-coordinate of C is \frac{7}{4}, what is its y-coordinate? Explain how you know.

N.RN.1

A.SSE.1.a

F.IF.8.b

F.LE.2

A.SSE.1.b

This lesson is from Illustrative Mathematics. Algebra 2, Unit 4, Lesson 6. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/4/6/index.html ; accessed 27/July/2021.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.