Question

Nelly owns farm land that has an area of 4.2 × 102 acres. Each year, the farm produces 6.72 × 104 bushels of corn. What is the average amount of corn produced per acre represented in scientific notation?
A) 2.82 × 107 bushels per acre
B) 1.6 × 102 bushels per acre
C) 1.6 × 103 bushels per acre
D) 2.82 × 106 bushels per acre
E) 1.6 × 101 bushels per acre

Answer 1

Le answer is B 1.6 × 102 bushels per acre

Answer 2

The average amount of corn produced per acre represented in scientific notation can be found using the below formula:

$The \;average\; amount\; of\; corn\; per\; acre=\frac{Bushels \; of\; corn\; produced\; in\; farm}{Area\; of\; farm\; in\; acres}$

We are given:

$Area \; of\; FARM\; land= 4.2 \times 10^2 \; acres\\ \\ Amount \; of\; corn\; produced=6.72\; \times \; 10^4 \; bushels$

Substituting the above information in the formula, we get...

$The \; Average\; amount\; of\; corn=\frac{6.72 \times 10^4}{4.2 \times 10^2} \\ \\ \frac{6.72}{4.2} \times \frac{10^4}{10^2}\; =\; 1.6 \times 10^{4-2}\; =\; 1.6 \times 10^2$

Conclusion:

$The \; Average \; amount\; of \; corn \; is\; 1.6 \times 10^2 \; Bushes\; per\; corn$

The average amount of corn produced per acre represented in scientific notation is option B)$1.6 \times 10^2$bushels per acre