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:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

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=−2,−3and $(x_{2}, y_{2}) = (0, - 3)$ is:

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

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

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

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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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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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

Calculus

Statistics

Logic and Functions

Decision Maths

Probability and Statistics

Applied Mathematics

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
$- 3$