Question

Samuel has to sell concert tickets worth at least $90. The price of a child ticket is $8, and the price of an adult ticket is $15. Let y be the number of child tickets sold and x be the number of adult tickets sold. Which of the following graphs best models this situation?

Answer 1

The last graph is the best models this situation.

Explanation:

First we need to find the equation of ticket selling. To not loss any money from this business Samuel need to sell at least 6 adult or 11.25 child tickets. I know ticket number must be integer but those numbers are x and y values that line crosses through axes. The equation is:

`8x+15y\geq 90`

and the graph of this equation is attached.

Answer 2

The correct graph is the second one, that the line intersects x at 6 and y at 11.5

Explanation:

Samuel has to sell at least $90. So, in this graph if he sell only child ticket, he will have to sell 11.5 tickets. Or if he sell only adult tickets, he will have to sell at least 6.