Nursing Elites

1. A restaurant employs servers, hosts, and managers in a ratio of 9:2:1. If there are 36 total employees, what is the number of hosts at the restaurant?

• A. 3
• B. 4
• C. 6
• D. 8

Correct answer: C

Rationale: To find the number of hosts in the restaurant, first, express the ratio algebraically as 9x + 2x + 1x = 36, where x represents the common factor. Combine like terms to get 12x = 36. Solve for x by dividing both sides by 12 to get x = 3. To find the number of hosts, multiply the coefficient of hosts (2) by x, which equals 6. Therefore, there are 6 hosts at the restaurant. Choice A, 3, is incorrect as it represents the number of servers. Choices B and D are incorrect as they do not correspond to the number of hosts based on the given ratio.

2. What is the number of students who said their favorite color is blue if 35% of 100 students chose blue as their favorite color?

• A. 35
• B. 25
• C. 20
• D. 10

Correct answer: A

Rationale: To find the number of students who said their favorite color is blue, we calculate 35% of 100, which is (35/100) * 100 = 35. Therefore, 35 students said their favorite color is blue. Choice B is incorrect because it represents the percentage of students who chose red. Choice C is incorrect as it represents the percentage of students who chose green. Choice D is incorrect as it represents the percentage of students who chose yellow.

3. What is the result of (4.71 × 10^3) - (2.98 × 10^2)? Which of the following is the correct simplified expression?

• A. 1.73 × 10
• B. 4.412 × 10^2
• C. 1.73 × 10^3
• D. 4.412 × 10^3

Correct answer: D

Rationale: The correct answer is D: 4.412 × 10^3. To simplify the expression, rewrite 4.71 × 10^3 as 47.1 × 10^2. Subtract the values in front of 10^2: 47.1 - 2.98 = 44.12. Rewriting this gives 44.12 × 10^2 = 4.412 × 10^3. Choice A is incorrect as it does not account for the correct subtraction result. Choice B is incorrect as it does not correctly simplify the expression. Choice C is incorrect as it provides an incorrect power of 10 in the simplified expression.

4. How can you distinguish between these three types of graphs - scatterplots: Quadratic, Exponential, Linear?

• A. Linear: straight line; Quadratic: U-shape; Exponential: rises or falls quickly in one direction
• B. Linear: curved line; Quadratic: straight line; Exponential: horizontal line
• C. Linear: zigzag line; Quadratic: U-shape; Exponential: flat line
• D. Linear: straight line; Quadratic: W-shape; Exponential: vertical line

Correct answer: A

Rationale: To differentiate between the three types of graphs - scatterplots, a linear graph will display a straight line, a quadratic graph will have a U-shape, and an exponential graph will show a rapid rise or fall in one direction. Choice B is incorrect because linear graphs are represented by straight lines, not curved lines. Choice C is incorrect as linear graphs do not exhibit zigzag patterns, and exponential graphs do not typically result in flat lines. Choice D is incorrect because quadratic graphs form a U-shape, not a W-shape, and exponential graphs do not represent vertical lines.

5. How do you convert yards to feet, and feet to yards?

• A. Multiply yards by 3 to get feet; divide feet by 3 to get yards
• B. Multiply yards by 2 to get feet; divide feet by 2 to get yards
• C. Multiply yards by 1.5 to get feet; divide feet by 1.5 to get yards
• D. Multiply yards by 4 to get feet; divide feet by 4 to get yards

Correct answer: A

Rationale: To convert yards to feet, you need to know that 1 yard is equal to 3 feet. Therefore, to convert yards to feet, you multiply the number of yards by 3. To convert feet to yards, you divide the number of feet by 3. Choice A correctly states that you should multiply yards by 3 to get feet and divide feet by 3 to get yards. Choices B, C, and D provide incorrect conversion factors, leading to inaccurate results.

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