The average amount of corn produced per acre represented in scientific notation can be found using the below formula:
[tex] The \;average\; amount\; of\; corn\; per\; acre=\frac{Bushels \; of\; corn\; produced\; in\; farm}{Area\; of\; farm\; in\; acres} [/tex]
We are given:
[tex] Area \; of\; FARM\; land= 4.2 \times 10^2 \; acres\\ \\ Amount \; of\; corn\; produced=6.72\; \times \; 10^4 \; bushels [/tex]
Substituting the above information in the formula, we get...
[tex] 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\\ \\ [/tex]
Conclusion:
[tex] The \; Average \; amount\; of \; corn \; is\; 1.6 \times 10^2 \; Bushes\; per\; corn [/tex]
The average amount of corn produced per acre represented in scientific notation is option B)[tex] 1.6 \times 10^2 [/tex]bushels per acre
