AP+Calculus

=AP Calculus=

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Projects
Projects posted on this page will be graded. You are expected to clearly explain your work using the appropriate technical terms. Please post your solutions on the student solutions page. Since discussing a solution is a great way of learning, I will also expect you to post some constructive criticism on each others work. Do remember to enter your name next to your postings otherwise I cannot give you any credit for for your work.


 * __Applications of the greatest integer function__** __(chapter 1)__ --Now Closed for posting solutions (9/12/07)

1. In a factory, orange juice is being packaged into cartons. Each carton holds 10 ounces
i) How many cartons are needed to package 30 ounces?

ii) How many cartons are needed to package 31 ounces?

iii) How many cartons are needed to package x ounces? Write your answer in terms of the greatest integer function.


 * 1) Labor costs at a repair shop are $40 per hour or any fraction thereof.

i) What is the labor cost for 2 hours?

ii) What is the labor cost for 2.5 hours?

iii) What is the labor cost for x hours? Write your answer in terms of the greatest integer function.


 * 1) You are saving money to replace your lost calculator. You plan to put $6 into your piggy bank every 10 days. Today is day zero.

i) How much will you have in your piggy bank in 30 days?

ii) How much will you have in your piggy bank in 31 days?

iii) How much will you have in your piggy bank in x days? Write your answer in terms of the greatest integer function.


 * 1) Merlin borrowed $60 from Ginger free of interest. He plans to pay back $6 every 7 days. Today is day zero.

i) How much debt does Merlin have to repay after 21 days?

ii) How much does Merlin have after 25 days?

iii) How much debt does Merlin have after x days? Write your answer in terms of the greatest integer function.