Chapter 2: Q14. (page 72)

For Exercises 12-14, use the table that shows the temperatures at different times on March 23, 2002.
During what 2-hour period was the average rate of change of the temperature the least?

Short Answer

Expert verified

The time interval $2 : 00 P.M. - 4 : 00 P.M.$ 2-hour period has the minimum average rate of change of the temperature is least.

Step by step solution

Step 1- Given information

Table of the data,

Step 2- Formula used

The slope formula (rate of change) m of a line is:

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

Where, m is slope of the line which is passes through the points $(x_{1}, y_{1}), (x_{2}, y_{2}) and x_{1} \neq x_{2} .$

Step 3- To find the Rate of change

According to the given data table,

Temperature change at the time interval is:

$8 : 00 A . M . - 10 : 00 A . M .$ is 11 and average rate change of temperature is $5.5 .$ $2 : 00 P.M. - 4 : 00 P.M.$

$10 : 00 A.M. - 12 : 00 P.M.$ is 8 and average rate change of temperature is $4$ .

$12 : 00 P.M. - 2 : 00 P.M.$ is 8 and average rate change of temperature is $4$ .

$2 : 00 P.M. - 4 : 00 P.M.$ is 2 and average rate change of temperature is $1$ .

Hence, the time interval $2 : 00 P.M. - 4 : 00 P.M.$ 2-hour period has the minimum average rate of change of the temperature is least.

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For Exercises 12-14, use the table that shows the temperatures at different times on March 23, 2002.
During what 2-hour period was the average rate of change of the temperature the least?

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the Rate of change

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For Exercises 12-14, use the table that shows the temperatures at different times on March 23, 2002.During what 2-hour period was the average rate of change of the temperature the least?

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the Rate of change

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Pure Maths

Applied Mathematics

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

For Exercises 12-14, use the table that shows the temperatures at different times on March 23, 2002.
During what 2-hour period was the average rate of change of the temperature the least?