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At a car dealership, employees earn a monthly base salary of $2,000 plus 3% commission on total sales. If an employee makes $5,000 in sales, what will their total monthly earnings be?
- A. $2,500
- B. $2,150
- C. $2,100
- D. $2,300
Correct Answer: A
Rationale: To calculate the total monthly earnings, we first find the commission earned on $5,000 sales, which is 3% of $5,000 = $150. Adding this commission to the $2,000 base salary gives a total of $2,000 + $150 = $2,150. Therefore, the correct total monthly earnings are $2,500. Choice B ($2,150) is incorrect because it only includes the base salary and the commission but miscalculates the total. Choices C ($2,100) and D ($2,300) are also incorrect as they do not account for the correct calculation of the commission on sales.
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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.
Pernell received the following scores on five exams: 81, 92, 87, 89, and 94. What is the approximate average of these scores?
- A. 81
- B. 84
- C. 89
- D. 91
Correct Answer: C
Rationale: To calculate the average of Pernell's scores, add all the scores together and then divide by the number of scores.
(81 + 92 + 87 + 89 + 94) = 443.
Now, divide 443 by 5:
443 · 5 = 89, which is the average score.
Curtis is taking a road trip through Germany, where all distance signs are in metric. He passes a sign that states the city of Dusseldorf is 45 kilometers away. Approximately how far is this in miles?
- A. 42 miles
- B. 37 miles
- C. 28 miles
- D. 16 miles
Correct Answer: C
Rationale: To convert kilometers to miles, you can use the conversion factor of approximately 0.62 miles per kilometer. Therefore, 45 kilometers 0.62 miles/kilometer = 27.9 miles, which is approximately 28 miles away. Choice A (42 miles), Choice B (37 miles), and Choice D (16 miles) are incorrect as they do not reflect the accurate conversion from kilometers to miles.
Simplify the following expression:
- A. 1 9/16
- B. 1 1/4
- C. 2 1/8
- D. 2
Correct Answer: A
Rationale: To simplify the given expression, start by performing the division first: (2/3) · (4/15) = (2/3) (15/4) = 30/12 = 5/2. Next, multiply this result by 5/8: 5/2 5/8 = 25/16 = 1 9/16. Therefore, the correct answer is A. Choice B (1 1/4) is incorrect as it does not match the simplified result. Choice C (2 1/8) is incorrect as it does not represent the simplified expression. Choice D (2) is incorrect as it does not account for the fractions in the original expression.
In a research study, a researcher collects data on the number of hours spent studying and the grades students received. Which of the following is the dependent variable?
- A. The number of hours spent studying
- B. The grades students received
- C. The subjects students studied
- D. The number of students in the study
Correct Answer: B
Rationale: The correct answer is B: 'The grades students received.' In this scenario, the grades students received are the dependent variable because they are influenced by the number of hours spent studying. The grades are the outcome that is being measured based on the manipulation or observation of the independent variable, which in this case is the number of hours spent studying. Choices A, C, and D are incorrect. The number of hours spent studying is the independent variable being manipulated or observed, the subjects students studied is not directly related to the dependent variable, and the number of students in the study is not the variable being measured or influenced by the independent variable.