Question

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.

Use the graph to find the cost of parking there for $4\frac{1}{2}hours$.

Short answer

When the time is $4\frac{1}{2}hours$ the cost is 6$ .

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– Calculate the cost by using graph.

When the time is $4\frac{1}{2}hours$ the cost is 6$ .