3.4+Paying+Bills+and+Counting+Profits

September 15.08 SH


 * //Big Idea: Observation and description of changes in the world around us are the first steps in finding and learning about patterns.

INV 3 Essential Question: How can I visually explain situations where one thing changes based on another?//**


 * A)Copy Sidney's table. complete it to give information about income and estimated costs for up to 10 Customers.**


 * C) D)**
 * number of customers || income || bike rentals || food and camp costs || van rentals || total costs || profit ||
 * 1 || $350 || $30 || $125 || $700 || $855 || $ -505 ||
 * 2 || $700 || $60 || $250 || $700 || $1010 || $ -310 ||
 * 3 || $1050 || $90 || $375 || $700 || $1165 || $ -115 ||
 * 4 || $1400 || $120 || $500 || $700 || $1320 || $ 80 ||
 * 5 || $1750 || $150 || $625 || $700 || $1475 || $ 275 ||
 * 6 || $2100 || $180 || $750 || $700 || $1630 || $ 470 ||
 * 7 || $2450 || $210 || $875 || $700 || $1785 || $ 665 ||
 * 8 || $2800 || $240 || $1000 || $700 || $1940 || $ 860 ||
 * 9 || $3150 || $270 || $ 1125 || $700 || $1095 || $ 1055 ||
 * 10 || $3500 || $300 || $ 1250 || $700 || $ 2250 || $ 1250 ||


 * B)How does the income column change as the number of customers increase? Explain how you can use this relationship to calculate the income for any number of customers.**

As the quantity of customers increase the original price is doubled, for example 1 customer pays $350 and another customer pays the same price the total amount changes to a total of $700. As the number of customers keep increasing the total cost keeps adding on the original price.

Look at table above look at table above From a trip with 5 customers the profit would be $275, a trip with 10 customers the profit would be $1250 and on a trip with 25 customers the profit would be $2775.
 * C)Add and complete a column for "total cost" (including bike rental, food and camp costs and van rental) to your table. How does the total cost change as the number of customers increase? Describe how you can calculate the total cost for any number of customers.**
 * D) Add and complete a column for “profit”. What would be earned from a trip with 5 customers? 10 customers? 25 customers?**


 * PROBLEM Follow up**


 * 1.What other patterns do you see in the table?**

1.answer: As the number of customers increases so does all the other prices.


 * 2. What is the least number of customers needed to make a profit?**

2.answer: The least number of customers needed to make a profit would be 4 customers.


 * 3.What do you think is the least number of customers needed to make it worthwhile for the students to run the tour ? Explain your reasoning.**

3.answer: I think the least number of customers needed to make the trip worthwhile would be about 7 because the students have a good profit that they can easily share and do have too many people to manage on their trip.