Math Problem Statement
Use the following graph to estimate the publicly held debt (in dollars) in 1980 and 2015. About how much larger was the 2015 held debt than the 1980 publicly held debt in actual dollars? Express this difference as a percentage of the 1980 GDP. Assume that the GDP in 1945, 1980, and 2015 was $226 billion, $2791 billion, and $18,100 billion, respectively. The publicly held debt was about ▼ $1396 $558 $698 $279 billion in 1980 and about ▼ $18,100 $9050 $27,150 $14,118 billion in 2015. So, the publicly held debt in 2015 was about $ enter your response here more than in 1980, which is enter your response here% of the 1980 GDP. (Round to the nearest whole numbers as needed.)
Solution
We are tasked with estimating the publicly held debt in 1980 and 2015, calculating how much larger the 2015 debt is compared to 1980, and expressing that difference as a percentage of the 1980 GDP.
Step 1: Find the debt in 1980 and 2015
According to the problem, the publicly held debt was:
- $698 billion in 1980.
- $18,100 billion in 2015.
Step 2: Calculate the difference in debt between 2015 and 1980
We subtract the 1980 debt from the 2015 debt to find how much larger the 2015 debt is:
Thus, the 2015 publicly held debt was $17,402 billion more than the 1980 debt.
Step 3: Express the difference as a percentage of the 1980 GDP
We are given that the GDP in 1980 was $2,791 billion. To express the difference in debt as a percentage of the 1980 GDP, we use the formula:
Thus, the difference in debt between 2015 and 1980 is approximately 624% of the 1980 GDP.
Final Answer:
- The publicly held debt in 2015 was about $17,402 billion more than in 1980.
- This difference is about 624% of the 1980 GDP.
Would you like further details on any step or additional clarification?
Here are 5 related questions to expand on the topic:
- How does the change in publicly held debt compare to the change in GDP between 1980 and 2015?
- What factors could contribute to such a significant increase in publicly held debt over time?
- How does the U.S. debt-to-GDP ratio in 2015 compare to that in 1980?
- What is the significance of the publicly held debt as a percentage of GDP?
- How does the increase in publicly held debt affect the economy and government spending?
Tip: When calculating large differences like this, it's crucial to keep track of units (billions, trillions) and check for any percentage increase relative to a baseline year to fully understand the economic impact.
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Math Problem Analysis
Mathematical Concepts
Percentage calculation
Debt-to-GDP ratio
Basic arithmetic
Formulas
Difference = Debt_2015 - Debt_1980
Percentage difference = (Difference / GDP_1980) * 100
Theorems
-
Suitable Grade Level
Grades 9-12
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