3.4+Paying+Bills+and+Counting+Profits

3rd September, 2008 HSB Day 10 **__ Inv.3-problem 3.4-Pg 41  __**

**A.) Copy Sydney’s table. Complete it to give information about income and estimated costs for up to 10 customers.**

 * # of customers ||  Income  ||  Bike rental  ||  Food and camp costs  ||  Van rental  ||
 * 1 || $350  ||  $30  ||  $125  ||  $700  ||
 * 2 || $700  ||  $60  ||  $250  ||  $700  ||
 * 3 || $1,050  ||  $90  ||  $375  ||  $700  ||
 * 4 || $1,400  ||  $120  ||  $500  ||  $700  ||
 * 5 || $1,750  ||  $150  ||  $625  ||  $700  ||
 * 6 || $2,100  ||  $180  ||  $750  ||  $700  ||
 * 7 || $2,450  ||  $210  ||  $875  ||  $700  ||
 * 8 || $2,800  ||  $240  ||  $1,000  ||  $700  ||
 * 9 || $3,150  ||  $270  ||  $1,125  ||  $700  ||
 * 10 || $3,500  ||  $300  ||  $1,250  ||  $700  ||




**B.) How does the income column change as the number of customers increases?**
 Explain how you can use this relationship to calculate the income of any number of customers. The income column changes by adding $350 dollars each time as the customer rate increases starting from 1.

=
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 increases? Describe how you can calculate the total cost for any number of customers.======

*The total cost changes as the number of customers there are. As the rate of customers increases $855 are added every time to the total cost. = D.) Add and complete a column for “Profit.” What profit would be earned from a trip with 5 customers? 10 customers? 25 customers? =
 * # of customers ||  Income  ||  Bike rental  ||  Food and camp costs  ||  Van rental  ||  Total Cost  ||
 * 1 || $350 || $30 || $125 || $700 || $855 ||
 * 2 || $700 || $60 || $250 || $700 || $1710 ||
 * 3 || $1,050 || $90 || $375 || $700 || $2565 ||
 * 4 || $1,400 || $120 || $500 || $700 || $3420 ||
 * 5 || $1,750 || $150 || $625 || $700 || $4275 ||
 * 6 || $2,100 || $180 || $750 || $700 || $5130 ||
 * 7 || $2,450 || $210 || $875 || $700 || $5985 ||
 * 8 || $2,800 || $240 || $1,000 || $700 || $6840 ||
 * 9 || $3,150 || $270 || $1,125 || $700 || $7695 ||
 * 10 || $3,500 || $300 || $1,250 || $700 || $8550 ||

*The profit that would be earned would be $275 for 5 customers, $1250 for 10 customers, and $2,500 for 25 customers.
 * # of customers ||  Income  ||  Bike rental  ||  Food and camp costs  ||  Van rental  ||  Total Cost  ||  Profit  ||
 * 1 || $350 || $30 || $125 || $700 || $855 || $-505 ||
 * 2 || $700 || $60 || $250 || $700 || $1710 || $-310 ||
 * 3 || $1,050 || $90 || $375 || $700 || $2565 || $-115 ||
 * 4 || $1,400 || $120 || $500 || $700 || $3420 || $80 ||
 * 5 || $1,750 || $150 || $625 || $700 || $4275 || $275 ||
 * 6 || $2,100 || $180 || $750 || $700 || $5130 || $470 ||
 * 7 || $2,450 || $210 || $875 || $700 || $5985 || $665 ||
 * 8 || $2,800 || $240 || $1,000 || $700 || $6840 || $860 ||
 * 9 || $3,150 || $270 || $1,125 || $700 || $7695 || $1055 ||
 * 10 || $3,500 || $300 || $1,500 || $700 || $8550 || $1250 ||
 * __Follow Up:__**

**1.) What other patterns of change do you see in the table?** The patterns of change I see in the table is that the Income goes up by $350, Bike Rental goes up by $30, Fod and Camp Costs goes up by $125, Total Cost goes up by $855 and the profit goes up by $195. Well any number above 3 customers can make a profit but i think I would choose 10 customers because it gets the most profit and because I can handle the 10 people.
 * 2.) What is the least number of customers needed for the tour to make profit.**

I think the least number for them to make it worthwhile is 5-7 customers because there is alot of profit to split betwwen them and because that is not to much or too little.
 * 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 answer.**