Math 143 - Quantitative Literacy Lab - Percentages in the Real World

Directions:

• MAKE A COPY of the document in order to edit and complete the assignment.
• All answers should be inserted and submitted on this document.
• You may work in groups, but each student needs to submit their own lab.
• All answers should include units and be rounded to3 decimal places unless instructed otherwise.
• Submit the Lab through Moodle as a pdf.
• Sentences should be grammatically correct and in the appropriate context of the problem; any required explanations should make sense to people who have not seen the data and/or do not have this lab sheet in front of them.

Part I - Concepts and Understanding

1. (4 pts.) Write each percent as a reduced fractionand as a decimal.

a. 32% b. 125%

c. 9.2% d. 0.75%

2. (4 pts.) Write each decimal or fraction as a percent.

a. 0.42 b. 2.1

c. 118 d. 58

3. (8 pts.) Solve each problem.

a. What is 23.1% of 342?

b. 89.3 is what percent of 120?

c. 89.3 is what percent of 78?

d. 85 is 45% of what number?

Part II - Applications

4. (4 pts.) A credit card company offers an annual 2% cash-back rebate on all gasoline purchases. If a family charged $6200 on gasoline purchases over the course of a year, what was the family's rebate at the end of the year?

5. (4 pts.) In 2010, the cost of tuition and fees at NC State University for in-state students was $6529.30. In 2019, those costs rose to $9100. What was the percent of increase in tuition and fees at NCSU from 2010 to 2019?

6. (6 pts.) The two circle graphs show how employees actually spend their time and how they would prefer to spend their time. Assume that employees have 112 hours a week that are not spent sleeping.

a. What is the actual number of hours per week that employees spend with family and friends?

b. What is the number of hours that employees would prefer to spend on their jobs or careers?

c. What is the difference between the number of hours an employee would prefer to spend on him-or herself and the actual amount of time the employee spends on him-or herself?

7. (5 pts.) The following graph shows the number of active-duty U.S. military personnel, in thousands, in 2010 and 2017. Which branch of the military had the greatest percent of decrease in personnel from 2010 to 2017? What was the percent of decrease for this branch of the service?

8. (6 pts.) In the 2016-2017 season, Lebron James earned $31 million for playing 80 games, each lasting 48 minutes(assume no overtime games).

a. How much did Lebron James earn per game?

b. (Use your answer from 8a) Assuming that James played every minute of every game, how much did he earn per minute?

9. (5 pts.) A family has a monthly income of $4395. Their monthly home mortgage payment is $1896. In general, lenders follow the "28 percent rule", meaning no more than 28 percent of your gross income should go towards your mortgage. Is this family within the recommended guidelines or are they spending too much for their home? Explain your answer.