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Core-Plus Contemporary Mathematics in Context: Course 1 , Unit 7 quadratics. P. 492-493
When the freshman class officers at Sturgis High School were making plans for the annual end-of-year class party, they had a number of variables to consider…
* the number of students purchasing tickets and attending the party
* the price charged for tickets
*expenses, including food, a DJ, security, and clean-up
A survey of class members showed that the number of students attending the party would depend on the price charged for tickets. Survey data suggested that if the party were free all 200 of the freshman would attend; however, for every $1 increase in price approximately 10 students would choose not to attend.
* The students responsible for pricing food estimated an expense of $5 per student.
* The students responsible for getting a DJ reported that the person they wanted would charge $150 for the event.
* The school principal said that costs of security and clean-up by school crews would add another $100 to the cost of the party.
If this party is to be a fundraising event for the class, what price should be set in order to raise the most money?
The Brown family went on a camping trip. Their campsite was located 3 miles east and 7 miles north of the ranger station. As the clouds rolled in, they decided their campsite was located too close to the river, which flows directly west to east-8 miles north of the ranger station, so they moved to a new site. The new campsite was located 7 miles east and 2 miles south of the ranger station. How far did they have to move their campsite to avoid the possible flooding river?
The family decided that to save energy from walking back and forth the entire distance they could create a pass-off point halfway between the two campsites and only carry their equipment halfway then pass it off to another member of their party to carry the rest of the way. Where would the pass off point be located?
The Smith family was also camping along the river 2 miles due west of the Brown family campsite. They also decided to move their campsite to avoid the rising river; in order to maintain their distance from the Brown family and move sufficiently up hill, they needed to move in a path that was parallel to the Brown’s and just as far. Where will the Smith family’s new campsite located?