Nursing Elites

1. What is the domain for the function f(x)=2x+5?

• A. All real numbers
• B. x ≥ 0
• C. x > 0
• D. x ≤ 0

Correct answer: A

Rationale: The domain of a function represents all possible input values that the function can accept. In this case, the function f(x)=2x+5 is a linear function, and linear functions have a domain of all real numbers. This means that any real number can be substituted for x in the function f(x)=2x+5, making choice A, 'All real numbers,' the correct domain for this function. Choices B, C, and D, restrict the domain unnecessarily by limiting the values of x to specific subsets of real numbers, which does not accurately reflect the nature of the given function.

2. What is a factor?

• A. A number that you multiply to get another number
• B. A number that divides evenly into another number
• C. A number that can be both multiplied and divided by another number
• D. A number that is greater than 1

Correct answer: A

Rationale: A factor is a number that can be multiplied by another number to produce a third number. When you multiply factors together, you get the original number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because these numbers can be multiplied in pairs to give the product 12. Choice B is incorrect as it describes a divisor. Choice C is incorrect because factors are only multiplied, not divided. Choice D is incorrect because factors can be any number, not just those greater than 1.

3. Which statement best describes the rate of change?

• A. Every day, the snow melts 10 centimeters.
• B. Every day, the snow melts 5 centimeters.
• C. Every day, the snow increases by 10 centimeters.
• D. Every day, the snow increases by 5 centimeters.

Correct answer: B

Rationale: The rate of change refers to how one quantity changes concerning another quantity. In this scenario, the rate of change is the amount of snow melting per day, which is 5 centimeters. This is determined by the slope of the graph, indicating a decrease in snow depth. Choices C and D incorrectly describe an increase in snow depth, while choice A exaggerates the rate of snow melting compared to the actual value of 5 centimeters per day.

4. A driver drove 305 miles at 65 mph, stopped for 15 minutes, then drove another 162 miles at 80 mph. How long was the trip?

• A. 6.44 hours
• B. 6.69 hours
• C. 6.97 hours
• D. 5.97 hours

Correct answer: B

Rationale: To find the total trip duration, calculate the driving time for each segment and add the stop time. The driving time for the first segment is 305 miles ÷ 65 mph = 4.69 hours. The driving time for the second segment is 162 miles ÷ 80 mph = 2.025 hours. Adding the 15-minute stop (0.25 hours) gives a total time of 4.69 hours + 2.025 hours + 0.25 hours = 6.965 hours, which is closest to 6.69 hours (Choice B). Option A is incorrect as it miscalculates the total duration. Option C is incorrect as it overestimates the total duration. Option D is incorrect as it underestimates the total duration.

5. Veronica has to create the holiday schedule for the neonatal unit at her hospital. She knows that 35% of the staff members will not be available because they are taking vacation days during the holiday. Of the remaining staff members who will be available, only 20% are certified to work in the neonatal unit. What percentage of the total staff is certified and available to work in the neonatal unit during the holiday?

• A. 0.07
• B. 0.13
• C. 0.65
• D. 0.8

Correct answer: A

Rationale: After 35% of the staff is on vacation, 65% remain. Of these remaining staff, 20% are certified to work in the neonatal unit. To find the percentage of the total staff that is certified and available, we calculate 20% of the 65% remaining staff: 0.2 * 65% = 13%. Therefore, 13% of the total staff is certified and available to work in the neonatal unit during the holiday. The correct answer is 0.13. Choices B, C, and D are incorrect because they do not accurately represent the correct percentage calculation based on the given information.

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