Illustrative Math - Algebra 2 - Unit 4 - Lesson 17 - Formative Library | Library

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.

Each day, the bacteria population grows by a factor of 2.

The equation p=2^{d} also defines the relationship between the population in thousands and time in days.

The population reaches 7,000 after log_{2}7,000 days.

The expression log_{2}10 tells us when the population reaches 10,000.

The equation d=log_{2}p represents a logarithmic function.

The equation 7=log_{2}128 tells us that the population reaches 128,000 in 7 days.

A.SSE.1.a

F.IF.7.e

F.LE.4

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

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

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?

1986

1993

1998

2018

A.SSE.1.a

F.IF.7.e

F.LE.4

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

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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