Question

A farmer hopes to yield 600 kg of corn after one harvest from a small plot of land. he knows that every square meter of land can yield 2 kg of harvested corn. is the farmer's 6 m by 18 m plot of land large enough to produce the 600 kg of corn he desires? ____a_____, the area needed to yield 600 kg of corn is ____b_____ square meters, and the plot of land is ____c_____ square meters. select the three answer choices that correctly fill in the blanks in the previous sentence. select exactly one answer choice for each corresponding blank (a, b, and c).
a.no
b.600
c.300
c.600
b.300
c.108
a.yes
b.108

Answer 1

a is correct, b is not. Redo b first

Answer 2

If the farmer's plot of land is 6 by 18, he has $6 \cdot 18 = 108$ square meters of land. Each square meters yields 2kg of corn, so 108 square meters yield $108\cdot 2 = 216$ kg of corn. So, the farmer's plot is not enough.

Since every square meter yields 2kg of corn, $m$ square meters yield $2m$ kg of corn. So, in order to yield 600 kg, you need

$2m = 600 \implies m = 300$ square meters of plot.