[size=150]The expression [math]12t+2.50[/math] represents the cost to purchase tickets for a play, where [math]t[/math] is the number of tickets. Be prepared to explain your response to each question.[/size][br][br]A family paid $62.50 for tickets. How many tickets were bought?[br]

A teacher paid $278.50 for tickets for her students. How many tickets were bought?

[size=150]The other day, you saw an equation that defines the height of a potato as a function of time after it was launched from a mechanical device. Here is a different function modeling the height of a potato, in feet, [math]t[/math] seconds after being fired from a different device:[/size][br][math]f\left(t\right)=-16t^2+80t+64[/math][br][br]What equation would we solve to find the time at which the potato hits the ground?

Use any method [i]except graphing[/i] to find a solution to this equation.[br]

[size=150]The expressions [math]p\left(200-5p\right)[/math] and [math]-5p^2+200p[/math] define the same function. The function models the revenue a school would earn from selling raffle tickets at [math]p[/math] dollars each.[br][/size][br][size=100]At what price or prices would the school collect $0 revenue from raffle sales? Explain or show your reasoning.[/size]

The school staff noticed that there are two ticket prices that would both result in a revenue of $500. How would you find out what those two prices are?[br]

If the school charges $10, it will collect $1,500 in revenue. Find another price that would generate $1,500 in revenue.

If the school charges $28, it will collect $1,680 in revenue. Find another price that would generate $1,680 in revenue.

Find the price that would produce the maximum possible revenue. Explain your reasoning.[br]