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An employer wants to purchase one cup of coffee for each of their 214 employees. A cup of coffee costs $3.95. To estimate the total cost, the employer plans to round the number of employees to the nearest ten and round the cost of the coffee to the nearest dollar. Which of the following prices represents the estimated total cost for the coffee?
- A. $845.30
- B. $840.00
- C. $829.50
- D. $850.00
Correct Answer: B
Rationale: Rounding 214 employees to the nearest ten gives 210. Rounding the cost of coffee ($3.95) to the nearest dollar gives $4. The estimated total cost is 210 x $4 = $840.00.
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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. $6.00
- B. $5.00
- C. $4.00
- D. $7.00
Correct Answer: A
Rationale: To calculate the 15% gratuity on a $38.40 bill, you multiply the bill amount by 0.15 (15%): $38.40 x 0.15 = $5.76. Since gratuity amounts are typically rounded up, the estimated gratuity would be $6.00, making choice A the correct answer. In this case, rounding up to the nearest whole dollar is common practice in gratuity calculations to simplify tipping and ensure a fair amount for the service provided.
Based on the table showing healthcare spending per capita in a group of African nations, which country experienced the greatest change in dollars spent per capita from 2013 to 2015?
- A. Eritrea 2013 ($56), 2015 ($42)
- B. Nigeria 2013 ($16), 2015 ($21)
- C. Tanzania 2013 ($68), 2015 ($8)
- D. Kenya 2013 ($81), 2015 ($88)
Correct Answer: C
Rationale: To determine the country with the most significant change in healthcare spending per capita, we calculate the difference between the spending in 2015 and 2013 for each country. In the case of Tanzania, the expenditure decreased from $68 in 2013 to $8 in 2015, indicating the largest drop in dollars spent per capita among the options provided. Therefore, the correct answer is C, Tanzania.
Which of the following is the correct Simplification of the expression below? 12 +3 × 4 -1+ 2^3
- A. 31
- B. 7
- C. 15
- D. 101
Correct Answer: A
Rationale: Following the order of operations (PEMDAS): 12 + (3 × 4) -1 + (2³) = 12 + 12 -1 + 8 = 31.
Solve the equation 4(X-5)=8 for x. Which of the following is the correct answer?
- A. 7
- B. 03-Apr
- C. 3 1/4
- D. -3
Correct Answer: A
Rationale: To solve the equation 4(X-5)=8 for x, first distribute the 4: 4X - 20 = 8. Next, add 20 to both sides to isolate X: 4X = 28. Finally, divide by 4 to solve for X: X = 7. Therefore, the correct answer is A as X equals 7.
The Americans with Disabilities Act (ADA) requires the slope of a wheelchair ramp to be no greater than 1:12. What is the minimum length of the ramp needed to provide access to a door that is 2.5 feet above the sidewalk?
- A. 25 feet
- B. 30 feet
- C. 32.5 feet
- D. 14.5 feet
Correct Answer: B
Rationale: To determine the minimum length of the ramp needed to provide access to a door elevated 2.5 feet above the sidewalk, we divide the vertical rise (2.5 feet) by the slope ratio (1:12). This calculation results in 2.5 feet divided by 1/12, which equals 30 feet. Therefore, a 30-foot ramp is required to meet the ADA requirement of a 1:12 slope, ensuring proper wheelchair access to a door elevated 2.5 feet above the sidewalk.