Math Homework
Instructions: Please complete the following 6 questions and note the answers (and work) on this sheet of paper. You MAY use a calculator and you MAY use the CPI calculator online.
For questions 4,5, and 6, please make an excel spread sheet .
Unit Conversions:
1- One recent semester, a MA114Q tutor told me that she gave up buying HP ink for her printer because it was “way too expensive.” She added, “it’s like the most expensive thing on the planet.” I asked her to find out the unit price, which turned out to be $33.00 for a 28 ml cartridge. Do you agree with her statement? How would you prove or disprove it? Does it cost more than Coa-Cola at $1.89 for 2 Liters? Does it cost more than White-Out Correction Fluid at $2.19 for 0.7 fluid ounces? Does is cost more than a Starbucks Frappucino at $7.29 for 32 fluid ounces?
2- 31.6% of all households in the United States own at least one pet dog. How many in a town of 11,250 households do you expect to own a pet dog?
There are 98,400 female dental hygienists registered in the United States. This represents 98.3% of all dental hygienists. How many dental hygienists in total are there nationally?
Masters Degree students enrolled in the College of Science and Mathematics (CSM) dropped from 154 in 2004 to 122 in 2009. What is the relative change in CSM Masters Degree students during the period of time?
3- I want to purchase a new 2017 Audi A5 convertible. I visited 3 dealerships and here are their offers:
|
|
Price |
Rebate |
Trade-in |
Loan interest |
Loan length |
Monthly payment |
Total interest paid |
|
Dealer 1 |
$52,900 |
$500 |
$10,500 |
3.3% |
60 months |
|
|
|
Dealer 2 |
$48,500 |
none |
$9,500 |
0.5% |
36 months |
|
|
|
Dealer 3 |
$54,200 |
$1000 |
$12,000 |
2.1% |
48 months |
|
|
Which offer is the best? Why?
4- After a long shopping trip to the food store, I sorted my groceries into the following categories and counted the number of items that belong in each category. Below are the results:
|
Category |
Number of items |
Relative percent |
|
Produce |
25 |
|
|
Dairy |
4 |
|
|
Canned goods and boxes |
20 |
|
|
Meat |
5 |
|
|
Cleaning supplies |
7 |
|
|
Frozen food |
4 |
|
Make a pie chart in excel and calculate the relative percent of each category of food.
5- The daily cost of renting a car from Rent-a-Wreck is $29.95 per day plus $0.09 per mile. Write an equation of rental cost C for a car versus miles driven m. Make a table of values (m,C) and graph of the function using excel.
6- If a young girl has been tracking her savings in her piggy bank over several years. Here is the money that she saved:
|
year |
total saved: |
|
2008 |
$25.70 |
|
2009 |
$54.33 |
|
2010 |
$79.80 |
|
2011 |
$91.25 |
|
2012 |
$107.50 |
|
2013 |
$125.60 |
What is the average rate of savings per year? (use excel and calculate the slope of the line)
If she saves at this rate, what do you predict her saving to be in 2035?