To determine the GDP per capita for each country, we follow these steps:
1. Identify the GDP and population for each country.
2. Calculate the GDP per capita using the formula:
[tex]\[ \text{GDP per capita} = \frac{\text{GDP}}{\text{Population}} \][/tex]
3. Round the result to the nearest cent.
Let's break this down for both Country A and Country B:
### For Country A:
1. GDP: [tex]$1.5$[/tex] trillion (or [tex]$1.5 \times 10^{12}$[/tex] dollars)
2. Population: 100 million (or [tex]$100 \times 10^{6}$[/tex] people)
#### Calculation:
[tex]\[ \text{GDP per capita for Country A} = \frac{1.5 \times 10^{12} \text{ dollars}}{100 \times 10^{6} \text{ people}} = \frac{1.5 \times 10^{12}}{10^{8}} = \frac{1.5 \times 10^4 \times 10^8}{10^8} = 1.5 \times 10^4 = 15000 \text{ dollars} \][/tex]
So, the GDP per capita for Country A is:
\[tex]$ 15,000.00
### For Country B:
1. GDP: $[/tex]5[tex]$ trillion (or $[/tex]5 \times 10^{12}[tex]$ dollars)
2. Population: 400 million (or $[/tex]400 \times 10^{6}[tex]$ people)
#### Calculation:
\[ \text{GDP per capita for Country B} = \frac{5 \times 10^{12} \text{ dollars}}{400 \times 10^{6} \text{ people}} = \frac{5 \times 10^{12}}{4 \times 10^{8}} = \frac{5 \times 10^4 \times 10^8}{4 \times 10^8} = \frac{5 \times 10^4}{4} = 1.25 \times 10^4 = 12500 \text{ dollars} \]
So, the GDP per capita for Country B is:
\$[/tex] 12,500.00
