Illustrative Math - Algebra 2 - Unit 4 - Lesson 17

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Last updated 2 months ago
9 Questions
1.

The relationship between a bacteria population p, in thousands, and time d, in days, since it was measured to be 1,000 can be represented by the equation d=log_{2}p.

Select all statements that are true about the situation.

A.SSE.1.a
F.IF.7.e
F.LE.4
2.

Here is the graph of a logarithmic function.
What is the base of the logarithm? Explain how you know.

A.SSE.1.a
F.IF.7.e
F.LE.4
3.

Match each equation with a graph that represents it.

f(x)=log_{2}x
g(x)=log_{10}x
h(x)=log_{5}x
j(x)=\ln x
A.SSE.1.a
F.IF.7.e
F.LE.4
4.

The graph represents the cost of a medical treatment, in dollars, as a function of time, d, in decades since 1978.

The expression 150*(1.35)^{3} represents the cost of the medical treatment sometime after 1978. Which year does it represent?

A.SSE.1.a
F.IF.7.e
F.LE.4
5.

The equation A(w)=180*e^{(0.01w)} represents the area, in square centimeters, of a wall covered by mold as a function of w, time in weeks since the area was measured.

Explain or show that we can approximate the area covered by mold in 8 weeks by multiplying A(7) by 1.01.

A.SSE.1.a
F.IF.7.e
F.LE.4
6.
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9.
This lesson is from Illustrative Mathematics. Algebra 2, Unit 4, Lesson 17. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/4/17/index.html ; accessed 27/July/2021.

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