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=(Bushels \; of\; corn\; produced\; in\; farm)/(Area\; of\; farm\; in\; acres)`

We are given:

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

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

`The \; Average\; amount\; of\; corn=(6.72 * 10^4)/(4.2 * 10^2) \\ \\ (6.72)/(4.2) * (10^4)/(10^2)\; =\; 1.6 * 10^(4-2)\; =\; 1.6 * 10^2\\ \\`

Conclusion:

`The \; Average \; amount\; of \; corn \; is\; 1.6 * 10^2 \; Bushes\; per\; corn`

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