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:

  1. Let xx be the total population of Country A.

  2. The ratio of MVD to the total population can be expressed as: MVD for Country Ax\frac{\text{MVD for Country A}}{x}

  3. The given MVD rate is usually expressed per 100,000 people. This means that the proportion for MVD per 100,000 people will be: MVD for Country Ax=MVD per 100,000 people100,000\frac{\text{MVD for Country A}}{x} = \frac{\text{MVD per 100,000 people}}{100,000}

  4. Now, cross-multiply to solve for xx (the total population): MVD for Country A×100,000=MVD per 100,000 people×x\text{MVD for Country A} \times 100,000 = \text{MVD per 100,000 people} \times x x=MVD for Country A×100,000MVD per 100,000 peoplex = \frac{\text{MVD for Country A} \times 100,000}{\text{MVD per 100,000 people}}

In this equation, you would plug in the given MVD data to calculate the total population xx.

Example:

If you are given that:

  • MVD for Country A = 500 deaths
  • MVD per 100,000 people = 25 deaths

The proportion would be: 500x=25100,000\frac{500}{x} = \frac{25}{100,000} Cross-multiply: 500×100,000=25×x500 \times 100,000 = 25 \times x 50,000,000=25x50,000,000 = 25x x=50,000,00025=2,000,000x = \frac{50,000,000}{25} = 2,000,000 So, the total population xx is 2,000,000 people.


Do you want more details on this process or any clarifications?

Related Questions:

  1. How do you solve proportions involving more complex rates?
  2. What if the MVD rate is given in a different unit, like per 1,000 people?
  3. How would this formula change if you are calculating a different country's data?
  4. Can this method be applied to different types of mortality data, like heart disease or cancer?
  5. 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