Question

Expenditures for physician services in 1989 were approximately how many billion dollars more than expenditures for nursing care?

• A. 38.5
• B. 66.0
• C. 82.5
• D. 110.0
• E. 154.0
• A. 605
• B. 5,000
• C. 5,500
• D. 6,050
• J. 6,500

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
This question asks us to find the difference in the dollar amount of expenditures between two categories shown in the pie chart. We need to use the percentages from the chart and the total expenditure amount.
Step 2: Key Formula or Approach:
1. Find the percentage for "Physician Services" and "Nursing Care" from the pie chart. 2. Calculate the difference between these two percentages. 3. Multiply this percentage difference by the total expenditure amount ($550 billion) to find the difference in dollars.
Step 3: Detailed Explanation:
From the pie chart: - Percentage for Physician Services = 20% - Percentage for Nursing Care = 8% First, find the difference in percentages: \[ \text{Percentage Difference} = 20% - 8% = 12% \] Now, calculate what this percentage represents in terms of the total expenditure of $550 billion. \[ \text{Dollar Difference} = 12% \text{ of } $550 \text{ billion} \] \[ \text{Dollar Difference} = 0.12 \times 550 \] To calculate this without a calculator: \[ 0.12 \times 550 = (0.10 \times 550) + (0.02 \times 550) \] \[ = 55 + (2 \times 5.5) = 55 + 11 = 66 \] So, the difference is $66 billion. Alternatively, you could calculate each amount separately and then subtract: - Physician Services expenditure = \( 20% \times 550 = 0.20 \times 550 = $110 \) billion. - Nursing Care expenditure = \( 8% \times 550 = 0.08 \times 550 = $44 \) billion. - Difference = \( $110 - $44 = $66 \) billion.
Step 4: Final Answer:
The expenditures for physician services were $66 billion more than for nursing care.

Answer 2

Step 1: Understanding the Concept:
This is a percentage problem. We are given a part (total health care expenditures) and what percentage of the whole (Gross Domestic Product, GDP) that part represents. We need to calculate the whole.
Step 2: Key Formula or Approach:
The relationship is: Part = Percent \(\times\) Whole. We can rearrange this to find the whole: \[ \text{Whole} = \frac{\text{Part}}{\text{Percent}} \] In this problem: Part = Total health care expenditures = $550 billion. Percent = 11%. Whole = Gross Domestic Product (GDP).
Step 3: Detailed Explanation:
Let GDP be the gross domestic product. We are given: \[ $550 \text{ billion} = 11% \text{ of GDP} \] Let's write this as an equation: \[ 550 = 0.11 \times \text{GDP} \] To solve for GDP, divide both sides by 0.11: \[ \text{GDP} = \frac{550}{0.11} \] To make the division easier, multiply the numerator and denominator by 100 to remove the decimal: \[ \text{GDP} = \frac{550 \times 100}{0.11 \times 100} = \frac{55000}{11} \] Now, perform the division: \[ \frac{55}{11} = 5 \] So, \[ \text{GDP} = 5,000 \] The gross domestic product was approximately $5,000 billion.
Step 4: Final Answer:
The GDP in 1989 was approximately 5,000 billion dollars.