crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. this…

crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. this year, a large farm harvested rice from 690 acres of farmland. the crop yield was 7,553 bushels per acre. approximately how many bushels of rice were harvested? 0.1 million bushels 5.2 million bushels 8.2 million bushels 10.9 million bushels

crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. this year, a large farm harvested rice from 690 acres of farmland. the crop yield was 7,553 bushels per acre. approximately how many bushels of rice were harvested? 0.1 million bushels 5.2 million bushels 8.2 million bushels 10.9 million bushels

Answer

Explanation:

Step1: Recall the yield - area relationship

The formula for crop yield is $Yield=\frac{Number\ of\ bushels}{Number\ of\ acres}$. We can re - arrange it to find the number of bushels: $Number\ of\ bushels = Yield\times Number\ of\ acres$.

Step2: Substitute the given values

We are given that the number of acres $A = 690$ and the yield per acre $y=7553$ bushels per acre. So, the number of bushels $N=y\times A=7553\times690$. $7553\times690=(7000 + 500+50 + 3)\times690=7000\times690+500\times690+50\times690+3\times690$ $7000\times690 = 4830000$, $500\times690=345000$, $50\times690 = 34500$, $3\times690=2070$ $N=4830000+345000+34500+2070=5211570$ bushels. Converting to millions, $5211570\approx5.2$ million bushels.

Answer:

5.2 million bushels