Chapter 2: Q13. (page 93)

For exercises 12 – 14, use the following information.
A downtown parking lot charges $2 for the first hour and $1 for each additional hour or part of an hour.
13. Draw a graph of function that represents this situation.

Short Answer

Expert verified

Step by step solution

Step-1 – Step function

Step Function - A function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals

Step-2 – Write the given statement.

The parking charge for first hour is 2 dollars and for each additional hour the parking charge is extra 1 dollars.

Since extra 1 dollar is added to the charge of first hour. For additional hours the charges

Will be $2, 2 + 1, 3 + 2, 4 + 1, 5 + 1, 6 + 1, 7 + 1, 8 + 1, . . .$

Step-3 – Draw the graph.

Since, the cost of parking must be an integer greater than or equal to 2, So the function is a step function.

The required graph is shown below:

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For exercises 12 – 14, use the following information.
A downtown parking lot charges \(2 for the first hour and \)1 for each additional hour or part of an hour.
13. Draw a graph of function that represents this situation.

Short Answer

Step by step solution

Step-1 – Step function

Step-2 – Write the given statement.

Step-3 – Draw the graph.

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For exercises 12 – 14, use the following information.A downtown parking lot charges \(2 for the first hour and \)1 for each additional hour or part of an hour.13. Draw a graph of function that represents this situation.

Short Answer

Step by step solution

Step-1 – Step function

Step-2 – Write the given statement.

Step-3 – Draw the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Decision Maths

Discrete Mathematics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

For exercises 12 – 14, use the following information.
A downtown parking lot charges \(2 for the first hour and \)1 for each additional hour or part of an hour.
13. Draw a graph of function that represents this situation.