Math 254CM Spring 2018 Name: Date: Exam 3 No books or notes are allowed during the exam. A basic arithmetic calculator is allowed. Show your work. Some problems you can answer without doing any work but most do require written work. If no work is shown you will not get any credit. Your ability to be clear and accurate is as important as any answer. The process is important and the grading will reflect this. If an answer is incorrect, then your work will help me determine how much partial credit to give you. Show only one solution for each problem. If the space I provided is not enough, you can do work on another sheet of paper. Make a note on the exam that you have done so. Number all problems done on separate paper in order. 1. Write the following ratio using fractional notation. Write in simplest form. a) 140 ounces to 155 ounces 2 points b) 8.5 inches to 10.5 inches 2 points 2. In a Cabrillo College physics class there are 18 women and 20 men. Find the following ratios. Write the ratios in lowest terms. a) men to the women in the class 2 points b) women to the total number of students in the class 2 points
3. Write the following rate as a unit rate. 3 points 340 miles in 16 hours 4. Find each unit price and then decide which is the better buy. Assume items are the same brand. If necessary, round each unit price to 3 decimal places. 6 points Eggs $4.89 for 12 eggs unit price: $6.89 for 18 eggs unit price: better buy: 5. Find the unknown number, n. 6 n 100 90 6. Find the unknown number, n. 4.8 0.9 n 3
For problems 7-9, you must include the following steps to receive full credit: a) Write the problem as a proportion. b) Use techniques from class solve the proportion. c) Show your scratch work used in solving. d) Answer the question with the appropriate units. 7. Currently, 3 out of 4 American adults drink coffee at least once a week. In a town with a population of 8200 adults, how many of these adults would you expect to drink coffee at least once a week? 8. The scale on an Italian map states that 1 centimeter corresponds to 30 kilometers. Find how far apart Milan and Rome are if their corresponding points on the map are 15 centimeters apart. 9. There are 80 milligrams of cholesterol in a 3 ounce serving of chicken. How much cholesterol is in 8 ounces of chicken? Round your answer to the nearest tenth.
10. Write each percent as a decimal. a) 3.5% 2 points b) 0.7% 2 points 11. Write each decimal as a percent. a) 3.5 2 points b) 0.7 2 points 12. Write the percent as a proper fraction or mixed number in simplest form. 65% 3 points 13. Write the fraction as a percent. 17 40 3 points 14. Complete the table. Write fractions in simplest form. 2 points each Percent Decimal 16% 0.65 Fraction 4 5
15. Write as an equation and then solve. What percent of 45 is 54? 16. Write as a proportion and then solve. 153 is what percent of 102? 17. Solve using the method of your choice. 5.4% of what number is 12.96? 18. Of the 64,500 veterinarians in private practice in the United States in 2012, approximately 34,830 were female. Determine the percent of female veterinarians in private practice in the United States.
19. A day care worker found 42 children absent one day during an epidemic of chicken pox. If this was 35% of the total number of children attending day care, how many children attend this day care center? 20. A union contract calls for a 3.5% salary increase for all employees. If an employee currently earns $65,000 a year, determine the increase in salary and the new salary for that employee. 5 points Increase: New Salary: 21. The price of a gallon of gasoline increased from $3.99 to $4.29. What was the percent increase in the price of a gallon of gasoline? Round to the nearest tenth of a percent.
22. A math book sells for $210.50. a) Find the amount of sales tax, to the nearest cent, if the sales tax rate is 8.75%. 3 points b) Find the total purchase price. 2 points 23. The price of a $1299 TV is to be discounted by 40%. a) What will be the amount, to the nearest cent, of the discount? 3 points b) What will be the sale price? 2 points