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A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. What is the estimated gratuity amount?
- A. $4.00
- B. $5.76
- C. $5.00
- D. $7.00
Correct Answer: B
Rationale: To calculate a 15% gratuity on a $38.40 bill, you multiply $38.40 by 0.15 (15%). This calculation results in $5.76, which is the estimated gratuity amount. Therefore, the correct answer is $5.76 (Choice B). Leaving a 15% gratuity is a common practice to show appreciation for the service provided by the restaurant staff.
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A worker earns $8000.00 per week before any tax deductions. The following taxes are deducted each week: $83.00 federal income tax, $38.00 state income tax, and $79.00 social security tax. How much will the worker make in 4 weeks after taxes are deducted?
- A. $31,200.00
- B. $29,200.00
- C. $26,000.00
- D. $24,000.00
Correct Answer: A
Rationale: To determine the worker's earnings in 4 weeks after taxes are deducted, start by calculating the total weekly tax deductions: $83.00 + $38.00 + $79.00 = $200.00. Subtract the total weekly tax deductions from the weekly earnings: $8000.00 - $200.00 = $7800.00. Now, to find the total earnings after 4 weeks, multiply the weekly earnings after deductions by 4: $7800.00 x 4 = $31,200.00. Therefore, the worker will make $31,200.00 in 4 weeks after taxes are deducted.
A temperature gauge reads 95 F. Which of the following is the correct conversion to degrees Celsius? (Note: C = (F - 32) x 5/9)
- A. 34C
- B. 63C
- C. 113C
- D. 35C
Correct Answer: A
Rationale: To convert Fahrenheit to Celsius, you can use the formula C = (F - 32) x 5/9. Substituting the given Fahrenheit value of 95 into the formula gives C = (95 - 32) x 5/9 = 35 degrees Celsius. Therefore, the correct conversion is 35C, which corresponds to choice D.
A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water are in one fully filled bucket?
- A. 14/15
- B. 8 2/5
- C. 6 4/5
- D. 2 7/15
Correct Answer: C
Rationale: To determine the amount of water in a fully filled bucket, we need to find out how much 1/3 represents in gallons. If 2 4/5 gallons represent 1/3 of the bucket, then the total amount in the bucket can be calculated by multiplying 2 4/5 by 3 (since 1/3 is multiplied by 3 to get the whole). 2 4/5 * 3 = 8 2/5 gallons, which is the capacity of the bucket when completely filled. Therefore, one fully filled bucket contains 8 2/5 gallons of water.
As the number of hours an employee works increases, the amount of taxes withheld, the amount of retirement savings withheld, and the number of sick leave hours granted increase. Which of the following is the independent variable?
- A. Number of hours worked
- B. Number of sick leave hours granted
- C. Amount of retirement savings withheld
- D. Amount of taxes withheld
Correct Answer: A
Rationale: The independent variable is the one that is changed or controlled in a scientific experiment. In this scenario, the number of hours worked is being manipulated, leading to variations in taxes withheld, retirement savings withheld, and sick leave hours granted. Therefore, the number of hours worked is the independent variable in this context. It drives the changes observed in taxes withheld, retirement savings withheld, and sick leave hours granted.
How should the frequency for each day of the week that students get up after 8 a.m. be best displayed from a class survey?
- A. Bar graph
- B. Scatter plot
- C. Histogram
- D. Pie chart
Correct Answer: A
Rationale: A bar graph is the most appropriate way to display the frequency of students getting up after 8 a.m. on each day of the week. Bar graphs are well-suited for comparing discrete categories, making them ideal for showing the frequency distribution of responses for each day. Each day of the week can be represented on the x-axis, and the frequency of students getting up after 8 a.m. on the y-axis. This allows for a clear visual comparison between the days, making it easy to see which days have a higher frequency of students waking up after 8 a.m. In this case, a bar graph is preferred over other options like scatter plots, histograms, or pie charts, as it provides a simple and effective way to visualize and compare the data across different days of the week.