Q28. Find the rate of change represen... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 3: Q28. (page 203)

Find the rate of change represented in each table or graph.
x
y
1
$- 3$
0
$- 3$
4
$- 3$
12
$- 3$

Short Answer

Expert verified

The rate of change represented in the given table is0.

Step by step solution

Step 1. Write the formula to find the rate of change.

The Formula to find the rate of change (m) when two points are $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is:

$m = \frac{y_{2} 鈭� y_{1}}{x_{2} 鈭� x_{1}}$

Step 2. Find the rate of change represented in the given table.

The rate of change $(m_{1})$ when the two points are width="128" height="25" role="math">x1,y1=鈭�2,鈭�3and $(x_{2}, y_{2}) = (0, 鈭� 3)$ is:

$m_{1} = \frac{y_{2} 鈭� y_{1}}{x_{2} 鈭� x_{1}} = \frac{鈭� 3 鈭� (鈭� 3)}{0 鈭� (鈭� 2)} = \frac{鈭� 3 + 3}{2} = \frac{0}{2} = 0$

The rate of change $(m_{2})$ when the two points are $(x_{3}, y_{3}) = (4, 鈭� 3)$ and $(x_{4}, y_{4}) = (12, 鈭� 3)$ is:

$m_{2} = \frac{y_{4} 鈭� y_{3}}{x_{4} 鈭� x_{3}} = \frac{鈭� 3 鈭� (鈭� 3)}{12 鈭� 4} = \frac{鈭� 3 + 3}{8} = \frac{0}{8} = 0$

Therefore, it can be noticed that the rate of change calculated from any of the two points given in the table is same and is equal to 0.

Therefore, the rate of change represented in the given table is 0.

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91影视

Find the rate of change represented in each table or graph.
x
y
1
$- 3$
0
$- 3$
4
$- 3$
12
$- 3$

Short Answer

Step by step solution

Step 1. Write the formula to find the rate of change.

Step 2. Find the rate of change represented in the given table.

One App. One Place for Learning.

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91影视

Find the rate of change represented in each table or graph.xy1-30-34-312-3

Short Answer

Step by step solution

Step 1. Write the formula to find the rate of change.

Step 2. Find the rate of change represented in the given table.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Statistics

Probability and Statistics

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the rate of change represented in each table or graph.
x
y
1
$- 3$
0
$- 3$
4
$- 3$
12
$- 3$