Nursing Elites

1. 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.

2. Which of the following is the most likely weight of a pencil?

• A. 25 kg
• B. 25 cm
• C. 25 mg
• D. 25 g

Correct answer: D

Rationale: The correct answer is 25 g. Pencils are usually lightweight, and their weight is measured in grams. 25 kg (choice A) is too heavy for a pencil. 25 cm (choice B) is a unit of length, not weight. 25 mg (choice C) is too light for a pencil, as pencils typically weigh more than milligrams.

3. A charter bus driver drove at an average speed of 65 mph for 305 miles. If he stops at a gas station for 15 minutes, then drives another 162 miles at 80 mph, how long will it have been since he began the trip?

• A. 0.96 hours
• B. 6.44 hours
• C. 6.69 hours
• D. 6.97 hours

Correct answer: C

Rationale: To calculate the total time, first find the time for the first leg of the trip: 305 miles / 65 mph = 4.69 hours. Then, add the time for the second leg: 162 miles / 80 mph = 2.025 hours. Next, add the 15-minute stop in hours (15 minutes = 0.25 hours). Finally, add the times together: 4.69 hours + 2.025 hours + 0.25 hours = 6.965 hours, which rounds to 6.69 hours. Therefore, the correct answer is 6.69 hours. Choice A is incorrect because it does not account for the total driving time correctly. Choice B is incorrect as it does not include the time for the gas station stop. Choice D is wrong as it miscalculates the total time taken for the trip.

4. 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.

5. A student scores 85% on a test with 50 questions. How many questions did the student answer correctly?

• A. 40 questions
• B. 42 questions
• C. 43 questions
• D. 45 questions

Correct answer: C

Rationale: To find the number of questions answered correctly, you multiply the percentage (85%) by the total number of questions (50). 85% of 50 questions is 0.85 * 50 = 43 questions answered correctly. Therefore, the correct answer is 43 questions. Choices A, B, and D are incorrect as they do not reflect the accurate calculation based on the given information.

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