Chapter 2: Q40. (page 73)

For Exercises 40-42 use the following information.
Mr. and Mrs. Wellman are taking their daughter to college. The table shows their distance from after various amounts of time.
40. Find the average rate of change of their distance from home between 1 and 3 hours after leaving home.

Short Answer

Expert verified

The average rate of change of their distance from home between 1 and 3 hours after leaving home is $55 .$

Step by step solution

Step 1- Given information

The table of the given 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

Here, $(x_{1}, y_{1}) = (1, 55) {and (x}_{2}, y_{2}) = (3, 165)$

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

$\begin{array}{l} \Rightarrow m = \frac{165 - 55}{3 - 1} \\ \Rightarrow m = \frac{110}{2} \\ \Rightarrow m = 55 \end{array}$

Hence, the average rate of change of their distance from home between 1 and 3 hours after leaving home is $55 .$

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For Exercises 40-42 use the following information.
Mr. and Mrs. Wellman are taking their daughter to college. The table shows their distance from after various amounts of time.
40. Find the average rate of change of their distance from home between 1 and 3 hours after leaving home.

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

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Study anywhere. Anytime. Across all devices.

For Exercises 40-42 use the following information.Mr. and Mrs. Wellman are taking their daughter to college. The table shows their distance from after various amounts of time.40. Find the average rate of change of their distance from home between 1 and 3 hours after leaving home.

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

Mechanics Maths

Logic and Functions

Theoretical and Mathematical Physics

Probability and Statistics

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

For Exercises 40-42 use the following information.
Mr. and Mrs. Wellman are taking their daughter to college. The table shows their distance from after various amounts of time.
40. Find the average rate of change of their distance from home between 1 and 3 hours after leaving home.