Math Problem Statement
that answer was wrong, Form a proportion by setting the given ratio of MVD for Country A to the total population, x, equal to the ratio of the given MVD per 100,000 people for country A.
Solution
To form a proportion based on the given ratio of Motor Vehicle Deaths (MVD) for Country A to its total population, let's follow these steps:
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Let be the total population of Country A.
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The ratio of MVD to the total population can be expressed as:
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The given MVD rate is usually expressed per 100,000 people. This means that the proportion for MVD per 100,000 people will be:
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Now, cross-multiply to solve for (the total population):
In this equation, you would plug in the given MVD data to calculate the total population .
Example:
If you are given that:
- MVD for Country A = 500 deaths
- MVD per 100,000 people = 25 deaths
The proportion would be: Cross-multiply: So, the total population is 2,000,000 people.
Do you want more details on this process or any clarifications?
Related Questions:
- How do you solve proportions involving more complex rates?
- What if the MVD rate is given in a different unit, like per 1,000 people?
- How would this formula change if you are calculating a different country's data?
- Can this method be applied to different types of mortality data, like heart disease or cancer?
- What is the interpretation of MVD per 100,000 people, and why is it useful?
Tip: Always double-check the units when setting up a proportion to avoid calculation mistakes!
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Math Problem Analysis
Mathematical Concepts
Proportions
Ratios
Cross-multiplication
Population Statistics
Formulas
MVD for Country A / Total Population (x) = MVD per 100,000 people / 100,000
x = (MVD for Country A * 100,000) / MVD per 100,000 people
Theorems
Proportionality Theorem
Suitable Grade Level
Grades 9-12
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