Discussion
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weaves in 8 days?
Answer: D
Reduce to a single weaver before scaling up. Four weavers making 4 mats in 4 days means
\[ 1 \text{ weaver} \rightarrow 1 \text{ mat in } 4 \text{ days} \]
Output is proportional to both the number of weavers and the time given, so
\[ \text{mats} = 8 \text{ weavers} \times \frac{8 \text{ days}}{4 \text{ days per mat}} = 8 \times 2 = 16 \]
The intuitive answer of 8 comes from doubling only one of the two factors. Both the workforce and the time double here, so the output goes up fourfold.
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