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In the graph above, which represents the amount of rainfall in a particular state by month, what is the total rainfall for the first 3 months of the year?
- A. 3 1/2 inches
- B. 2 inches
- C. 4 inches
- D. 1 1/2 inches
Correct Answer: A
Rationale: To calculate the total rainfall for the first 3 months of the year, you need to add the rainfall amounts for January (1 inch), February (1/2 inch), and March (2 inches) together. This sum gives a total of 3 1/2 inches, making choice A the correct answer.
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There are 80 calories in one serving of salad dressing, and 87.5% of those calories are from fat. One serving of salad dressing is 2 tablespoons. Which of the following amounts is the number of calories from fat per tablespoon of salad dressing?
- A. 40
- B. 70
- C. 35
- D. 45
Correct Answer: A
Rationale: To find the calories from fat per tablespoon, first, calculate the total calories from fat: 80 calories * 0.875 = 70 calories from fat. Then, divide by the number of tablespoons in a serving (2): 70 / 2 = 35 calories per tablespoon. Therefore, the correct answer is 35 calories, which is closest to 40.
In a local community college, there are 800 students enrolled in four allied programs as illustrated in the pie chart. What is the number of students enrolled in the respiratory care program?
- A. 336
- B. 168
- C. 152
- D. 144
Correct Answer: C
Rationale: To find the number of students in the respiratory care program, you need to calculate 19% of 800, which represents the proportion of students in this program. To do this, multiply 0.19 by 800 to get 152. Therefore, there are 152 students enrolled in the respiratory care program. The pie chart visually represents the distribution of students among the programs, with the respiratory care program accounting for 19% of the total student population.
A farmer grows apple, orange, lemon, banana, and pear trees. The number of trees planted this year is shown in the table above. Which of the following would best display the data?
- A. Bar graph
- B. Scatter plot
- C. Stem-and-leaf plot
- D. Line graph
Correct Answer: A
Rationale: A bar graph is the most appropriate way to display categorical data like the number of each type of tree planted by the farmer. In a bar graph, each type of tree can be represented by a separate bar, allowing for easy visual comparison of the quantities. Scatter plots are used to illustrate relationships between two sets of data, which is not the case here. Stem-and-leaf plots are more suitable for displaying numerical data in a grouped format, not categorical data like types of trees. Line graphs are typically used to portray trends or changes over time, making them less suitable for this scenario.
What is the length of the unknown leg of a right triangle that has one leg measuring 8 feet and a hypotenuse of 12 feet? (Round to the nearest tenth)
- A. 40 feet
- B. 4 feet
- C. 14.4 feet
- D. 8.9 feet
Correct Answer: D
Rationale: To find the length of the unknown leg of a right triangle, you can use the Pythagorean theorem. The theorem states that the square of the length of the hypotenuse (12 feet) is equal to the sum of the squares of the other two sides. Let x be the length of the unknown leg. So, 12^2 = 8^2 + x^2. Solving for x gives x = √(12^2 - 8^2) = √(144 - 64) = √80 ≈ 8.9 feet. Therefore, the length of the unknown leg is approximately 8.9 feet.
Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/6
Correct Answer: D
Rationale: After one friend eats half of the pizza, half of the pizza remains to be divided among the other three friends. Dividing this remaining half equally among three friends means each friend receives 1/6 of the pizza (1/2 · 3 = 1/6). Therefore, each of the other three friends receives 1/6 of the pizza.