Title: Unit 4 Quiz
Course: Technical Math for Industry

Q: A baseball player went up to bat 500 times in a season. He hit the ball 150 times. Find the rate of balls hit to times at bat. Express as a simplified fraction.
- 3 to 7 (Incorrect. This is the rate of balls hit to balls not hit.)
- 10 to 3 (Incorrect. This is the rate of times at bat to balls hit.)
- 3 to 10 (Correct. The number of balls hit compared to times at bat is 150 to 500, which simplifies to 3 to 10.)
- 7 to 10 (Incorrect. This is the rate of balls not hit to times at bat.)
A: 3 to 10

Q: A sprinter can run 279 feet in 9 seconds. Find the sprinter's unit rate of feet per second.
- 31:1 (Incorrect. The sprinter's run compares quantities with different units, so it can be described as a rate. This is a ratio.)
A: (a choice with no text)
If right: Correct. The rate is . Express the fraction with 1 in the denominator to find the number of feet traveled in one second.
If wrong: Incorrect. The rate is . When you simplify this, be careful not to switch the units of measure.
If wrong: Incorrect. This is the correct rate, but not the unit rate. Express the fraction with 1 in the denominator to find the unit rate.

Q: A 16-ounce bottle of Spring Water is $1.76. A 20-ounce bottle of Fresh Water is $2.40. Which statement about the unit prices is true?
- Spring Water has a lower unit price of $0.11/ounce. (Correct. The Spring Water rate is and the Fresh Water rate is .)
- Spring Water has a lower unit price of $0.12/ounce. (Incorrect. Be sure to pay attention to which brand of water has which unit price when solving. Also note that this is not the lower unit price.)
- Fresh Water has a lower unit price of $0.12/ounce. (Incorrect. Find the unit price of each brand of water by writing a rate and then expressing the fraction with a denominator of 1. Compare the unit prices.)
- Fresh Water has a lower unit price of $0.11/ounce. (Incorrect. Be sure to pay attention to which brand of water has which unit price when solving.)
A: Spring Water has a lower unit price of $0.11/ounce.

Q: Belleview High School has 12 chaperones for 210 students on a field trip. Which of the following schools has the same ratio of chaperones to students?
- Garden Plains High School: 14 chaperones for 260 students (Incorrect. Write and as simplified fractions to see if they are equivalent.)
- Mission High School: 8 chaperones for 160 students (Incorrect. Write and as simplified fractions to see if they are equivalent.)
- Three Rivers High School: 18 chaperones for 300 students (Incorrect. Write and as simplified fractions to see if they are equivalent.)
- Jefferson High School: 20 chaperones for 350 students (Correct. and . Because , the ratios that describe each situation are equivalent fractions.)
A: Jefferson High School: 20 chaperones for 350 students

Q: Find the length of a picture frame whose width is 3 inches and whose proportions are the same as a 9-inch wide by 15-inch long picture frame.
- 45 inches (Incorrect. The ratio of the unknown length, n, to the width of the photograph is . The ratio of the length to the width for the other photograph is . Set up a proportion that states that the two ratios are equal, and cross multiply. Don't forget to divide by the number in front of n.)
- 5 inches (Correct. Write a proportion, cross multiply, and divide to isolate the variable.)
- inches (Incorrect. The ratio of the unknown length, n, to the width of the photograph is . The ratio for the other photograph must be set up in the same order: length to width, or . Set up a proportion that states that the two ratios are equal, and solve for n.)
- 9 inches (Incorrect. When two objects have the same proportions, you must set up a ratio, such as length to width, for each and then set up a proportion that states that the two ratios are equal. You do not subtract the same number from each side of one object to get the sides of the other.)
A: 5 inches

Q: A high school basketball player attempted 36 free throws in a season. An analyst determined that the player successfully made 5 out of 6 of these free throws. How many free throws did the player successfully make that season in total?
- 43 free throws (Incorrect. Make sure to set up the proportion correctly. This is the solution to , rounded off to the nearest integer. Each ratio should compare things in the same order, such as free throws made to attempts. The correct proportion would have been .)
- 30 free throws (Correct.)
- 6 free throws (Incorrect. You may be thinking of the ratio of 36 free throws to 6 free throws, but this does not tell you how many the basketball player successfully made. You need to set up a proportion and solve for the unknown number of free throws made.)
- 1 free throw (Incorrect. Make sure to set up the proportion correctly. This is the solution to , rounded off to the nearest integer. Each ratio should compare things in the same order, such as free throws made to free throws attempted. The correct proportion would have been .)
A: 30 free throws