The Make a Wish Foundation claims, “We grant the wishes of children with life-threatening medical conditions to enrich the human experience with hope, strength and joy.”
Mizraim is throwing a party at school to raise money for the “Make a Wish Foundation.” He is trying to figure out how much to charge each person in order to maximize the profits earned for the party. He took a poll and found that 300 people would attend the party if he charged $1. He also found that for every $1 he raises the price, 20 people will not attend the party. There are 360 students in the school.

How many people will attend if he charges $0? $2? $10?

How much money can he raise for the make a wish foundation if he charges $0? $1? $2? $10?

What price should Mizraim charge in order to raise the most money for the Make a Wish Foundation?

How many people will attend the party at that price?

Are there prices for which they will earn zero dollars? What are they?

Under what conditions will every student attend the party?

If you have not yet done this, find an equation that fits the data, make a table of values, graph it, and describe the features of the graph?

What connections do you see between the equation, graph, and table?

Fast and Furious!
Vin Diesel thinks his car can accelerate from 0 to 60 miles per hour in 3 seconds, he wants to test that before he races for pink slips. He needs to know how long the track must be in order for him to reach his desired speed. How long must the track be?

Guided questions
What information did you need to solve the problem? Average velocity
d=½ at2 +v0t+d0

Extension questions
If you start at a speed of 10 miles per hour, how long will your track need to be for you to reach 60 miles per hour?

How far will he travel if he decelerates from 60 miles per hour to a stop if his car can decelerate at a rate of 25 miles per hour per second?