Question

A researcher approximated the number of marigold plants in a region of desert that is roughly square shaped with a side length of 140 miles. As part of the process, she counted the number of marigold plants in a small part of the region and determined that the density of the marigold plant was about 279 plants per square mile. She assumed the density of marigold plants was the same throughout the region.


Which expression would the researcher have most likely used when making her approximation for the number of marigold plants in the square shaped region?

(3×102)(2×104)

(3×102)(2×105)
2×1043×102
2×1042×102

Answer 1

the answer is A i hope this helps

Answer 2

The expression the researcher have most likely used approximation for the number of marigold plants is option (A) (3×10^2)(2×10^4) is the correct answer.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The region of desert that is square shaped with a side length = 140 miles

The density of the marigold plant = 279 plants per square mile

The formula of area of the square region is

$A=side^{2}$

⇒ $A=(140)^{2}$

⇒ $A=19600$

This can be approximated as $A=1.9(10)^{4}$ ≈ $2(10)^{4}$

The density of the marigold plant can be approximated as

⇒ $2.79(10)^{2}$ ≈ $3(10)^{2}$

Thus the expression the researcher have most likely used is

⇒ $(Area)(density)$

⇒ $3(10)^{2}2(10)^{4}$

Hence we can conclude that the expression the researcher have most likely used approximation for the number of marigold plants is option (A) (3×10^2)(2×10^4) is the correct answer.

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