Nursing Elites

1. Which of the following equations correctly models the relationship between x and y when y is three times x?

• A. y = 3x
• B. x = 3y
• C. y = x + 3
• D. y = x / 3

Correct answer: A

Rationale: The correct equation that models the relationship between x and y when y is three times x is y = 3x. This equation represents that y is equal to three times x. Choice B (x = 3y) incorrectly reverses the relationship, stating that x is equal to three times y. Choice C (y = x + 3) and Choice D (y = x / 3) do not correctly represent a relationship where y is three times x, making them incorrect choices.

2. Anna is buying fruit at the farmers’ market. She selects 1.2 kilograms of apples, 800 grams of bananas, and 300 grams of strawberries. The farmer charges her a flat rate of $4 per kilogram. What is the total cost of her produce?

• A. $4.40
• B. $5.24
• C. $9.20
• D. $48.80

Correct answer: C

Rationale: To calculate the total cost, convert all weights to kilograms. 800 grams = 0.8 kilograms; 300 grams = 0.3 kilograms. Add up the weights: 1.2 kg + 0.8 kg + 0.3 kg = 2.3 kg. Multiply the total weight by the cost per kilogram: 2.3 kg × $4/kg = $9.20. Therefore, the total cost of her produce is $9.20. Choice A, $4.40, is incorrect as it does not account for the total weight of all the fruits. Choice B, $5.24, is incorrect as it does not accurately calculate the total cost based on the given weights and price per kilogram. Choice D, $48.80, is incorrect as it is significantly higher than the correct total cost and suggests an incorrect calculation method.

3. Which is larger, feet or meters? What is the correct conversion factor between feet and meters?

• A. Feet are larger; 1 foot is 0.3048 meters
• B. Meters are larger; 1 meter is 3.28 feet
• C. Feet are smaller; 1 foot is 0.5 meters
• D. Meters are smaller; 1 meter is 2 feet

Correct answer: A

Rationale: The correct answer is A. Feet are larger than meters. The conversion factor between feet and meters is 1 foot = 0.3048 meters. Choice B is incorrect as it states that meters are larger than feet, which is the opposite of the truth. Choice C is incorrect as it provides an incorrect conversion factor of 1 foot = 0.5 meters, which is inaccurate. Choice D is also incorrect as it suggests that meters are smaller than feet, which is not true.

4. 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.

5. 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.

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