Overheard in Math Class

Students were working on solving a system of equations using a graph.  The problem context involved adults and students who had purchased tickets to a performance.   They knew the ticket price for each and the total amount of income.   They also knew the total number of tickets sold.    Students had to write the system of equations and then solve it graphically.

Student 1:   Should the graph be continuous?

Student 2:   No, you can’t have half a person.

Student 3:   Can it go into the negatives?

Student 1:  No, you can’t have negative people.

Student 4:   Yes you can.   Not everyone is an optimist.

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