Nursing Elites

1. 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.

2. John’s Gym charges its members according to the equation y = 40x, where x is the number of months and y represents the total cost to each customer after x months. Ralph’s Recreation Room charges its members according to the equation y = 45x. What relationship can be determined about the monthly cost to the members of each company?

• A. John’s monthly membership fee is equal to Ralph’s monthly membership fee.
• B. John’s monthly membership fee is more than Ralph’s monthly membership fee.
• C. John’s monthly membership fee is less than Ralph’s monthly membership fee.
• D. No relationship can be determined between the monthly membership fees.

Correct answer: C

Rationale: The equation y = 40x represents John's Gym charging $40 per month, while the equation y = 45x represents Ralph's Recreation Room charging $45 per month. Since $40 is less than $45, it can be concluded that John's Gym offers a lower monthly membership fee compared to Ralph's Recreation Room. Therefore, the correct answer is that John’s monthly membership fee is less than Ralph’s monthly membership fee. Choices A and B are incorrect because John's fee is not equal to or greater than Ralph's fee. Choice D is incorrect as there is a clear relationship indicating that John’s monthly membership fee is less than Ralph’s monthly membership fee.

3. 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.

4. The cost of renting a car is $50 per day plus $0.25 per mile driven. If a customer rents the car for 3 days and drives 120 miles, what is the total cost?

• A. $156
• B. $190
• C. $165
• D. $210

Correct answer: A

Rationale: To calculate the total cost, first, multiply the number of days by the cost per day: 3 days x $50/day = $150. Then, multiply the number of miles driven by the cost per mile: 120 miles x $0.25 = $30. Finally, add the two amounts together: $150 (daily cost) + $30 (mileage cost) = $180. Therefore, the correct total cost is $180, which corresponds to choice A. The other choices are incorrect because they do not reflect the accurate calculation of $150 for the daily cost and $30 for the mileage cost.

5. After taking a certain antibiotic, Dr. Lee observed that 30% of all his patients developed an infection. He further noticed that 5% of those patients required hospitalization to recover from the infection. What percentage of Dr. Lee’s patients were hospitalized after taking the antibiotic?

• A. 1.50%
• B. 5%
• C. 15%
• D. 30%

Correct answer: A

Rationale: To find the percentage of Dr. Lee's patients hospitalized, you need to calculate 5% of the 30% who developed an infection. 5% of 30% is 1.5%. Therefore, 1.5% of Dr. Lee's patients were hospitalized. Choice A is correct. Choices B, C, and D are incorrect because they do not accurately reflect the calculation of the percentage of patients requiring hospitalization after taking the antibiotic.

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