Algebra 1 5-1 Guided Practice: Rate of Change and Slope

by Matthew Richardson

| 11 Questions1

2

1

10

Solve It! The table shows the horizontal and vertical distances from the base of the mountain at several poles along the path of a ski lift. The poles are connected by a cable. Between which two poles is the cable's path the steepest?

Pole A

Pole B

Pole C

Pole D

2

10

Solve It! How do you know?

3

3

5

Problem 1 Got It?

A

B

4

4

10

Problem 2 Got It?

A

B

C

D

5

5

10

Problem 2 Got It?

A

B

C

D

6

6

5

Problem 2 Got It?

A

B

7

10

Problem 3 Got It? What is the slope of the line through the points (1, 3) and (4, -1)?

Enter only a number in fraction form.

8

10

Problem 3 Got It? Reasoning: Plot the points (1, 3) and (4, -1) from the previous item and draw a line through them. Include relevant graph detail: label axes, indicate scale on both axes, add arrows to the ends of lines and axes.

9

10

Problem 3 Got It? Reasoning: Does the slope of the line you drew in the previous item match the slope you calculated in the item before that? Explain.

10

10

10

Problem 4 Got It?

A

B

C

D

11

11

10

Problem 4 Got It?

A

B

C

D

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