Question

75 POINTS HELP PLEASE

A researcher approximated the number of juniper trees in a region of desert that is roughly square shaped with a side length of 220 kilometers. As part of the process, she counted the number of juniper trees in a small part of the region and determined that the density of the tree was about 86 trees per square kilometer. She assumed the density of juniper trees was the same throughout the region. Which expression would the researcher have most likely used when making her approximation for the number of juniper trees in the square shaped region? A. 5×10^5 / 1×10^2 B. 5×10^4 / 1×10^2 C. (5×10^4)(1×10^2) D. (4×10^4) (1×10^2)

Answer 1

Hello!

I believe the most logical answer is C) (5×10^4) (1×10^2).

I hope it helps!

Answer 2

The correct answer is C) (5×10⁴)(1×10²)

Step-by-step explanation:
The number of trees can be calculated by the formula:
trees = density × area

Consider that the problem says that the researcher makes an approximation, and the answers have numbers written in scientific notation.

The density is 86 trees/km²,
which can be rounded to 100 trees/km²
and written as 1×10².
Therefore, density = 1×10² trees/km²

The area of a square can be calculated by the formula:
A = s²
= 220²
= 48400 km²
which can be roundend to 50000
and written as 5×10⁴
Therefore, area = 5×10⁴ km²

Now, we can substitute in the original formula:
trees = (1×10²)(5×10⁴)