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IM Alg1.7.2 Lesson: When and Why Do We Write Quadratic Equations?

The expression represents the cost to purchase tickets for a play, where is the number of tickets. Be prepared to explain your response to each question. A family paid $62.50 for tickets. How many tickets were bought?

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

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, seconds after being fired from a different device: What equation would we solve to find the time at which the potato hits the ground?

Use any method except graphing to find a solution to this equation.

The expressions and define the same function. The function models the revenue a school would earn from selling raffle tickets at dollars each. At what price or prices would the school collect $0 revenue from raffle sales? Explain or show your reasoning.

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?

Can you find the following prices without graphing?

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.