In 2007, the population of North America was approximately 5.15 x

people and the population of South America was approximately 3.04 x
people. What is the combined population of North and South America for this year?
Responses
A 8.19 x
people8.19 x 10 16 people
B 8.19 x
people8.19 x 10 9 people
C 8.19 x
people8.19 x 10 8 people
D 8.19 x
people8.19 x 10 64 people
E 8.19 x
people

1 answer

To calculate the combined population of North and South America for the year 2007, we need to add the populations given.

Let's denote:

  • North America's population in 2007 as \( P_{NA} = 5.15 \times 10^x \)
  • South America's population in 2007 as \( P_{SA} = 3.04 \times 10^y \)

To add these numbers, we should first ensure that both populations are represented with the same exponent.

  1. Assume \( x = 9 \) (for example): \[ P_{NA} = 5.15 \times 10^9 \] \[ P_{SA} = 3.04 \times 10^9 \]

  2. Adding the populations: \[ P_{total} = P_{NA} + P_{SA} = (5.15 + 3.04) \times 10^9 = 8.19 \times 10^9 \]

Hence, the combined population of North and South America in 2007 is approximately: \[ 8.19 \times 10^9 \text{ people} \]

Thus, the correct choice is:

B: 8.19 x 10^9 people