Illustrative Math - Algebra 2 - Unit 4 - Lesson 17

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A.SSE.1.a

F.IF.7.e

F.LE.4

A.SSE.1.a

F.IF.7.e

F.LE.4

A.SSE.1.a

F.IF.7.e

F.LE.4

A.SSE.1.a

F.IF.7.e

F.LE.4

A.SSE.1.a

F.IF.7.e

F.LE.4

Draggable item		Corresponding Item
Graph D.		f(x)=log_{2}x
Graph A.		g(x)=log_{10}x
Graph B.		h(x)=log_{5}x
Graph C.		j(x)=\ln x

Draggable item		Corresponding Item
Graph D.		f(x)=log_{2}x
Graph A.		g(x)=log_{10}x
Graph B.		h(x)=log_{5}x
Graph C.		j(x)=\ln x

Illustrative Math - Algebra 2 - Unit 4 - Lesson 17

Illustrative Math - Algebra 2 - Unit 4 - Lesson 17

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.

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

Match each equation with a graph that represents it.

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?

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.

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.

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

Match each equation with a graph that represents it.

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?

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.

Illustrative Math - Algebra 2 - Unit 4 - Lesson 17

Illustrative Math - Algebra 2 - Unit 4 - Lesson 17

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.

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

Match each equation with a graph that represents it.

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?

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.

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.

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

Match each equation with a graph that represents it.

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?

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.

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.

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

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?

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.

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.

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

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?

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.