Q21. - Algebra 2

Question

Bluffton High School chartered buses so the student body could attend the girls’ basketball state tournament games. Each bus held a maximum of 60 students. Draw a graph of a step function that shows the relationship between the number of students x who went to the game and the number of buses y that were needed.

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 bus held a maximum of 60 students.

Let x be the total number of students.

First bus can hold greater than 0 students, but less than or equal to 60 students.

Now, 2 buses can hold more than 60 students but less than or equal to 120.

Thus, the required table is shown below:

Step-3 – Draw the graph.

Since, the students rounds any fraction of 60 students 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.