Nursing Elites

1. If Mom's car drove 72 miles in 90 minutes, how fast did she drive in feet per second?

• A. 0.8 feet per second
• B. 48.9 feet per second
• C. 0.009 feet per second
• D. 70.4 feet per second

Correct answer: D

Rationale: To convert miles per hour to feet per second, first convert time to hours: 90 minutes = 1.5 hours. Then, calculate the speed in miles per hour: 72 miles in 1.5 hours = 48 mph. Finally, convert mph to feet per second using the conversion factor 1 mph = 1.47 feet per second: 48 mph * 1.47 = 70.4 feet per second. Therefore, the correct answer is 70.4 feet per second. Choices A, B, and C are incorrect because they do not reflect the correct conversion from miles per hour to feet per second.

2. What kind of relationship between a predictor and a dependent variable is indicated by a line that travels from the bottom-left of a graph to the upper-right of the graph?

• A. Positive
• B. Negative
• C. Exponential
• D. Logarithmic

Correct answer: A

Rationale: A line that travels from the bottom-left of a graph to the upper-right of the graph signifies a positive relationship between the predictor and dependent variable. This indicates that as the predictor variable increases, the dependent variable also increases. Choice B, 'Negative,' is incorrect as a negative relationship would be depicted by a line that travels from the top-left to the bottom-right of the graph. Choices C and D, 'Exponential' and 'Logarithmic,' respectively, represent specific types of relationships characterized by non-linear patterns, unlike the linear positive relationship shown in the described scenario.

3. 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.

4. Solve for y: 2y + 5 = 25 * 10

• A. y = 25
• B. y = 100
• C. y = 150
• D. y = 200

Correct answer: B

Rationale: To solve the equation 2y + 5 = 25 * 10, start by simplifying the right side: 25 * 10 = 250. Then, subtract 5 from both sides to isolate 2y: 2y = 250 - 5 = 245. Finally, divide by 2 to find the value of y: y = 245 / 2 = 122.5. Therefore, the correct answer is y = 122.5. Choices A, C, and D are incorrect as they do not result from the correct calculation steps.

5. Your measurement of the width of a door is 36 inches. The actual width of the door is 35.75 inches. What is the relative error in your measurement?

• A. 0.70%
• B. 0.01%
• C. 0.99%
• D. 0.10%

Correct answer: A

Rationale: To calculate relative error, you use the formula: (|measured value - actual value| / actual value) * 100%. Substituting the values, we get (|36 - 35.75| / 35.75) * 100% = (0.25 / 35.75) * 100% = 0.7%. This means your measurement is off by 0.7% from the actual width of the door. Choice B, 0.01%, is too small as it doesn't reflect the actual difference. Choices C and D are significantly different from the calculated answer and do not represent the accurate relative error in the measurement.

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