Nursing Elites

1. A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi?

• A. 11.25 Ï€in²
• B. 29.57 Ï€in²
• C. 18.35 Ï€in²
• D. 20.25 Ï€in²

Correct answer: D

Rationale: To find the area of a circle, we use the formula A = πr², where r is the radius of the circle. In this case, the diameter is 9 inches, so the radius is half of the diameter, which is 4.5 inches. Substituting the radius into the formula, we get A = π(4.5)² = 20.25 πin². Therefore, the correct answer is 20.25 πin². Choices A, B, and C are incorrect because they do not correctly calculate the area using the radius of the circle.

2. Which of the following describes a graph that represents a proportional relationship?

• A. The graph has a slope of 2,500 and a y-intercept of 250
• B. The graph has a slope of 1,500 and a y-intercept of -150
• C. The graph has a slope of 2,000 and a y-intercept of 0
• D. The graph has a slope of -1,800 and a y-intercept of -100

Correct answer: C

Rationale: A graph that has a y-intercept of 0 indicates a proportional relationship because the starting value is 0, and no amount is added to or subtracted from the term containing the slope. In this case, choice C is correct as it has a y-intercept of 0, which aligns with the characteristics of a proportional relationship. Choices A, B, and D have non-zero y-intercepts, indicating a starting value other than 0, which does not represent a proportional relationship.

3. Elevation above sea level and temperature are negatively correlated variables. Which of the following statements describes the relationship between the variables?

• A. As elevation decreases, temperature remains the same
• B. As elevation decreases, temperature decreases
• C. As elevation increases, temperature decreases
• D. As elevation increases, temperature increases

Correct answer: C

Rationale: The correct answer is C: 'As elevation increases, temperature decreases.' In a negative correlation, the variables move in opposite directions. As elevation rises, temperature tends to decrease. Choice A is incorrect because a negative correlation implies that as one variable increases, the other decreases. Choices B and D are incorrect because they suggest that temperature either remains the same or increases as elevation decreases or increases, which is inconsistent with a negative correlation.

4. Simplify the expression 3x - 5x + 2.

• A. -2x + 2
• B. -8x
• C. 2x + 2
• D. -2x

Correct answer: D

Rationale: When simplifying the expression 3x - 5x + 2, start by combining like terms. -5x is subtracted from 3x to give -2x. Adding 2 at the end gives the simplified expression -2x. Therefore, the correct answer is -2x. Choice A, -2x + 2, incorrectly adds 2 at the end. Choice B, -8x, incorrectly combines the coefficients of x without considering the constant term. Choice C, 2x + 2, incorrectly adds the coefficients of x without simplifying.

5. How many whole boxes measuring 2 ft * 2 ft * 2 ft can be stored in a room measuring 9 ft * 9 ft * 9 ft, without altering the box size?

• A. 125
• B. 64
• C. 18
• D. 92

Correct answer: D

Rationale: The total volume of the room is 729 ft³ (9 ft * 9 ft * 9 ft). Each box has a volume of 8 ft³ (2 ft * 2 ft * 2 ft). Dividing the room's volume by the box volume, we get 729 ft³ / 8 ft³ ≈ 91.125. Since we can't have a fraction of a box, the maximum number of whole boxes that can fit is 92. Therefore, the correct answer is 92. Choice A (125) is incorrect as it does not result from the correct calculation. Choice B (64) and Choice C (18) are also incorrect and do not accurately represent the number of boxes that can fit in the room based on the given dimensions.

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