One way to write linear function rules is in standard form.
Graph the linear function given by the equation using a table of values.
To draw the graph of the function, we can plot all five points in a coordinate plane and connect them with a line.
The amusement park ride "Spinning Teacups" has two different sizes of cups, large and small. Large cups fit people and small cups fit people. Maximum capacity for each ride is people. The equation models this situation, where is the number of small cups and is the number of large cups. Graph the situation and interpret the intercepts.
Notice that the graph does not extend infinitely. This is because, since and represent the numbers of different cups, negative numbers should not be included.