Q22. - Algebra 2

Question

For Exercise 22 and 23, use the following information.

Sarah has a long-distance telephone plan where she pays 10 cent for each minute or part of a minute that she talks, regardless of the time of day.

Graph a step function that represents this situation.

Step-by-Step Solution

Answer

The required graph is shown below:

Step-1 – Step function.

The graph of a step function contains all constant pieces, and these pieces are observed across the adjacent intervals of the function. Their values change form one interval to another.

Step-2 – Setup the table.

It is given that she pays 10 cents for each minute.

Let x be the total number of minutes.

If call duration is greater than 0 minutes but less than or equal to 1 minute, then the call cost of the call will be 10 cents.

If call duration is greater than 1 minutes but less than or equal to 2 minute, then the call cost of the call will be 20 cents and so on.

Thus, the required table is shown below:

Step-3 – Draw the graph.

Since, the call rounds any fraction of minute up to the next whole number, each segment on the graph has a circle at the left endpoint and a dot at the right endpoint.