Nursing Elites

1. The cost of renting a bicycle is $3.60 per hour. Which equation shows the best relationship between the total cost (C) and the number of hours (h) rented?

• A. C = 3.60h
• B. C = h + 3.60
• C. C = 3.60h + 10.80
• D. C = 10.80h

Correct answer: A

Rationale: The best relationship is C = 3.60h because the cost increases by $3.60 for each hour of rental. This equation represents a linear relationship where the total cost (C) is directly proportional to the number of hours rented (h). Choice B (C = h + 3.60) is incorrect because it wrongly assumes a fixed additional cost of $3.60 regardless of the number of hours rented. Choice C (C = 3.60h + 10.80) is incorrect as it overestimates the initial cost. Choice D (C = 10.80h) is incorrect as it implies a constant rate of $10.80 per hour, which is not the case.

2. A recipe calls for 5.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

• A. 10.2 mL
• B. 12 mL
• C. 7.43 mL
• D. 27 mL

Correct answer: D

Rationale: To convert the amount of vanilla from teaspoons to milliliters, we multiply the number of teaspoons by the conversion factor of 4.93 mL/teaspoon. 5.5 teaspoons * 4.93 mL/teaspoon = 27.115 mL, which rounds to 27 mL. Therefore, the correct amount of vanilla in mL is 27 mL. Choice A (10.2 mL), Choice B (12 mL), and Choice C (7.43 mL) are incorrect as they do not correctly convert the given amount of teaspoons to milliliters based on the provided conversion factor.

3. Margery is planning a vacation, and her round-trip airfare will cost $572. Her hotel costs $89 per night, and she will be staying at the hotel for five nights. She has allotted a total of $150 for sightseeing and expects to spend about $250 on meals. She will receive a 10% discount on the hotel price after the first night. What is the total amount Margery expects to spend on her vacation?

• A. $1,328.35
• B. $1,373.50
• C. $1,381.40
• D. $1,417.60

Correct answer: C

Rationale: To calculate Margery's total expenses: Airfare ($572) + Hotel ($89 * 5 nights) = $572 + $445 = $1017. After the first night's stay, Margery receives a 10% discount on the remaining four nights, making the total hotel cost $445 - (10% of $89) = $445 - $8.90 = $436.10. Adding sightseeing ($150) and meals ($250) to the total gives $1017 + $150 + $250 = $1417. Margery's expected expenses are $1417, not $1381.40 as stated in the original rationale. Therefore, the correct answer is $1,417.60 (Option D).

4. How do you find the radius of a circle when given the diameter? How do you find the radius of a circle when given the circumference?

• A. Radius = Diameter ÷ 2; Radius = Circumference ÷ 2π
• B. Radius = Diameter ÷ 3; Radius = Circumference ÷ π
• C. Radius = Diameter × 2; Radius = Circumference × 2π
• D. Radius = Diameter ÷ 4; Radius = Circumference ÷ π

Correct answer: A

Rationale: The correct way to find the radius of a circle when given the diameter is by dividing the diameter by 2 to get the radius (Radius = Diameter ÷ 2). When given the circumference, you need to divide the circumference by 2π to find the radius (Radius = Circumference ÷ 2π). Choice A provides the accurate formulas for finding the radius in both scenarios. Choices B, C, and D present incorrect formulas that do not align with the correct calculations for determining the radius of a circle based on the given information.

5. How many cubic inches of water could the aquarium hold if it were filled completely? (Dimensions: 30 in × 10 in × 12 in)

• A. 3600 cubic inches
• B. 52 cubic inches
• C. 312 cubic inches
• D. 1144 cubic inches

Correct answer: A

Rationale: To find the volume of the aquarium, we multiply its length, width, and height. The formula for the volume of a rectangular solid is V = l × w × h. Substituting the given dimensions, we get V = 30 × 10 × 12 = 3600 cubic inches. Therefore, the aquarium can hold 3600 cubic inches of water. Choice B (52 cubic inches), Choice C (312 cubic inches), and Choice D (1144 cubic inches) are incorrect as they do not correctly calculate the volume of the aquarium based on its dimensions.

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