Nursing Elites

1. If Hannah spends at least $16 on 4 packages of coffee, which of the following inequalities represents the possible costs?

• A. 16 ≥ 4p
• B. 16 < 4p
• C. 16 > 4p
• D. 16 ≤ 4p

Correct answer: D

Rationale: To represent the relationship between the number of packages of coffee and the minimum cost, the inequality can be written as 4p ≥ 16 (cost is at least $16). This inequality can also be expressed as 16 ≤ 4p, which reads as the cost being less than or equal to $16. Therefore, the correct answer is D. Choice A (16 ≥ 4p) implies that the cost can be greater than or equal to $16, which does not align with the statement that Hannah spends at least $16. Choice B (16 < 4p) suggests that the cost is less than $16, which contradicts the given information. Choice C (16 > 4p) indicates that the cost is greater than $16, which is not accurate based on the scenario provided.

2. In a graph that shows the number of nurses in various specialties, what is the independent variable?

• A. Anesthesia
• B. Geriatrics
• C. Nurse specialties
• D. Number of nurses

Correct answer: C

Rationale: The independent variable is the variable that is controlled or manipulated in an experiment or study. In this case, the independent variable is the nurse specialties because it is the factor that is being observed and measured to see how it affects the number of nurses in each specialty. The dependent variable, which changes in response to the independent variable, is the number of nurses. Choices A and B are specific nurse specialties and are actually part of the data being measured, not the independent variable itself. Choice D, 'Number of nurses,' is the dependent variable as it is the outcome that is being influenced by the independent variable, which is the nurse specialties.

3. What is the length of the unknown leg of a right triangle that has one leg measuring 9 feet and a hypotenuse of 19 feet? (Round to the nearest tenth.)

• A. 16.7 feet
• B. 16.0 feet
• C. 17.4 feet
• D. 8.4 feet

Correct answer: A

Rationale: To find the length of the unknown leg (a) of a right triangle, use the Pythagorean theorem: a² + 9² = 19². Substitute the known values, solve for a: a² + 81 = 361. Subtract 81 from both sides to get a² = 280. Taking the square root of 280 gives a ≈ 16.7 feet. Therefore, the correct answer is 16.7 feet. Choice B (16.0 feet) is incorrect as it does not accurately round to the nearest tenth. Choice C (17.4 feet) and choice D (8.4 feet) are incorrect as they do not match the calculated value using the Pythagorean theorem.

4. What number is equivalent to -3 + 2 * 8 + 3?

• A. 11
• B. 31
• C. 28
• D. 80

Correct answer: B

Rationale: To solve this expression, we first follow the order of operations (PEMDAS/BODMAS). According to this rule, we start by multiplying 2 by 8, which equals 16. Then, we add -3 and 3 to get 0. Finally, adding 0 to 16 gives us the correct answer of 16. The correct answer is B. Choice A (11) results from adding all the numbers without considering the multiplication first. Choice C (28) is the result of adding all the numbers without considering any operations. Choice D (80) is incorrect as it does not correctly follow the order of operations.

5. If he pays $270 per month in rent, how much money does he put into his house savings account each month?

• A. $90
• B. $270
• C. $730
• D. $810

Correct answer: A

Rationale: The correct answer is $90. If he pays $270 per month in rent and saves a total of $360 per month, he puts $360 - $270 = $90 into his house savings account each month. Choice B ($270) is incorrect as this amount represents the rent paid, not the amount saved. Choices C ($730) and D ($810) are both significantly higher than the correct amount of $90, making them incorrect as they do not align with the given information in the question.

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