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 in 2021. solve for the total population of country a in 2021, 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
mvd (2021) people
1,563 x
3.99 100,000
x = 39172932 (round to the nearest integer as needed.)
(b) use the same technique to find the population of country b in 2021, by first filling in the bottom row of the table and then solving for x
mvd (2021) people
2,272 x
(type integers or decimals.)

Explanation:

Part (a)

Step1: Set up the proportion

We know that the ratio of MVD to people for Country A is \( \frac{3.99}{100000} \) (since 3.99 MVD per 100,000 people) and the number of MVD is 1,563. Let \( x \) be the total population. So we set up the proportion:
\( \frac{3.99}{100000}=\frac{1563}{x} \)

Step2: Solve for \( x \)

Cross - multiply to get \( 3.99x = 1563\times100000 \)
First, calculate \( 1563\times100000=156300000 \)
Then, \( x=\frac{156300000}{3.99} \)
\( x = 39172932.33\cdots\approx39172932 \) (rounded to the nearest integer)

Step1: Set up the proportion

For Country B, the ratio of MVD to people is \( \frac{10.16}{100000} \) (since 10.16 MVD per 100,000 people) and the number of MVD is 2,272. Let \( x \) be the total population. So we set up the proportion:
\( \frac{10.16}{100000}=\frac{2272}{x} \)

Step2: Solve for \( x \)

Cross - multiply to get \( 10.16x=2272\times100000 \)
First, calculate \( 2272\times100000 = 227200000 \)
Then, \( x=\frac{227200000}{10.16} \)
\( x = 22362204.72\cdots\approx22362205 \) (rounded to the nearest integer)

Answer:

\( 39172932 \)

Part (b)