Nursing Elites

1. If a car travels 150 miles in 3 hours, what is the car's average speed in miles per hour?

• A. 45 mph
• B. 50 mph
• C. 55 mph
• D. 60 mph

Correct answer: B

Rationale: To calculate the average speed, use the formula: Average speed = Total distance / Total time. In this case, Average speed = 150 miles / 3 hours = 50 mph. Therefore, the car's average speed is 50 miles per hour. Choice A (45 mph), Choice C (55 mph), and Choice D (60 mph) are incorrect as they do not match the correct calculation based on the given distance and time values.

2. 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.

3. The length of a rectangle is 3 times its width. If the width is 4 inches, what is the perimeter of the rectangle?

• A. 28 inches
• B. 24 inches
• C. 30 inches
• D. 32 inches

Correct answer: A

Rationale: To find the perimeter of a rectangle, you add up all its sides. Given that the width is 4 inches and the length is 3 times the width (3 * 4 = 12 inches), the perimeter formula is 2 * (length + width). Substituting the values, we get 2 * (12 + 4) = 2 * 16 = 32 inches. Therefore, the correct answer is 32 inches. Choices B, C, and A are incorrect because they do not reflect the correct calculation of the rectangle's perimeter.

4. What is the probability of flipping a coin and getting heads?

• A. 1/2
• B. 1/3
• C. 1/4
• D. 1/5

Correct answer: A

Rationale: The correct answer is A: 1/2. When flipping a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads is 1 out of 2 possible outcomes, which can be expressed as 1/2. Choice B, 1/3, is incorrect because a fair coin only has two sides. Choices C and D, 1/4 and 1/5, are also incorrect as they do not represent the correct probability of getting heads when flipping a coin.

5. Which of the following describes a real-world situation that could be modeled by?

• A. Courtney charges a $12 fee plus $2 per hour to babysit. Kendra charges a $10 fee plus $5 per hour. Write an equation to find the number of hours for which the two charges are equal.
• B. Courtney charges a $2 fee plus $12 per hour to babysit. Kendra charges a $5 fee plus $10 per hour. Write an equation to find the number of hours for which the two charges are equal.
• C. Courtney charges a $12 fee plus $2 to babysit. Kendra charges a $10 fee plus $5 to babysit. Write an equation to find the number of hours for which the two charges are equal.
• D. Courtney charges $10 plus $2 per hour to babysit. Kendra charges $12 plus $5 per hour. Write an equation to find the number of hours for which the two charges are equal.

Correct answer: A

Rationale: In the given situation, Courtney charges a $12 fee plus $2 per hour to babysit, represented by the equation: 12 + 2h where h is the number of hours. Kendra charges a $10 fee plus $5 per hour, represented by the equation: 10 + 5h. To find the number of hours for which the two charges are equal, we set the two equations equal to each other: 12 + 2h = 10 + 5h. Solving for h gives h = 2. This means that the charges are equal after 2 hours of babysitting. Choice B is incorrect because the fee and hourly rates for Courtney and Kendra are reversed, leading to an incorrect equation. Choices C and D are incorrect as they do not accurately represent the given scenario of fees and hourly rates for babysitting by Courtney and Kendra.

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