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

Answer:

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

Step-by-step 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.

Answer 2

Answer:

The last graph is the best models this situation.

Step-by-step 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.