Question

use the following table comparing motor vehicle deaths (mvd) to answer parts (a) through (d) below
mvd (2021) | mvd per 100,000 people | mvd per 100,000 mv | mvd per 100 million vehicle miles
country a | 1,563 | 3.99 | 5.7 | 0.60
country b | 2,272 | 10.16 | 12.99 | 1.10
(a) the 1,563 is giving the number of mvd in country a for their entire population, while the 3.99 is a ratio giving 3.99 mvd : 100,000 people. put this information into a ratio table to find the total population of country a in 2021. solve for the total population
mvd (2021) | people
1,563 | x
3.99 | 100,000
x = \boxed{} (round to the nearest integer as needed )

Explanation:

Step1: Set up the proportion

We know that the ratio of MVD to population is \( \frac{3.99}{100000} = \frac{1563}{x} \), where \( x \) is the total population.

Step2: Cross - multiply to solve for \( x \)

Cross - multiplying gives us \( 3.99\times x=1563\times100000 \).
Then, \( x = \frac{1563\times100000}{3.99} \).
First, calculate \( 1563\times100000 = 156300000 \).
Then, divide by \( 3.99 \): \( x=\frac{156300000}{3.99}\approx39172932.08 \).
Rounding to the nearest integer, we get \( x\approx39172932 \).

Answer:

\( 39172932 \)