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Illustrative Math - Algebra 1 - Unit 5 -Lesson 19

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Last updated 2 months ago
9 Questions
1.

Functions a,b,c,d,e and f are given below. Classify each function as linear, exponential, or neither.

  • a(x)=3x
  • b(x)=3^{x}
  • c(x)= x^{3}
  • d(x)= 9+3x
  • e(x)=9*3^{x}
  • f(x)=9*3x
  • Linear
  • Exponential
  • Neither
F.LE.1.b
F.LE.1.a
F.IF.5
F.LE.3
F.IF.2
F.LE.2
F.IF.4
F.LE.1.c
2.

Here are 4 equations defining 4 different functions, a,b,c and d. List them in order of increasing rate of change. That is, start with the one that grows the slowest and end with the one that grows the quickest.

  1. c(x)=x+4
  2. d(x)=1+4x
  3. b(x)=3x+5
  4. a(x)=5x+3
F.LE.1.b
F.LE.1.a
F.IF.5
F.LE.3
F.IF.2
F.LE.2
F.IF.4
F.LE.1.c
3.
4.
5.
6.
7.

A line segment of length l is scaled by a factor of 1.5 to produce a segment with length m. The new segment is then scaled by a factor of 1.5 to give a segment of length n.

What scale factor takes the segment of length l to the segment of length n? Explain your reasoning.

F.LE.1.b
F.LE.1.a
F.IF.5
F.LE.3
F.IF.2
F.LE.2
F.IF.4
F.LE.1.c
8.

A couple needs to get a loan of $5,000 and has to choose between three options.
  • Option A: 2\frac{1}{4}% applied quarterly
  • Option B: 3% applied every 4 months
  • Option C: 4\frac{1}{2}% applied semi-annually
If they make no payments for 5 years, which option will give them the least amount owed after 5 years? Use a mathematical model for each option to explain your choice.

F.LE.1.b
F.LE.1.a
F.IF.5
F.LE.3
F.IF.2
F.LE.2
F.IF.4
F.LE.1.c
9.

Here are graphs of five absolute value functions. Match the graph and equation that represent the same function.

Graph 3.
Graph 1
Graph 5.
Graph 4.
Graph 2.
F.LE.1.b
F.LE.1.a
F.IF.5
F.LE.3
F.IF.2
F.LE.2
F.IF.4
F.LE.1.c
This lesson is from Illustrative Mathematics. Algebra 1, Unit 5, Lesson 19. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/5/19/index.html ; accessed 26/July/2021.

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