Question

The given graph shows the relationship between the number of workers (x) and the number of days they work (y) at a factory. Study the graph and select the correct statement.

Answer 1

The points on the graph are A(3, 12), B(5, 20), C(7, 28), D(9, 36).
Let’s put these values in a table and find a pattern.

\(\begin{array}{|c|c|c|c|c|}
\hline\text{Number of }&3&5&7&9\\
\text{workers}\\
\hline\text{Number of }&12&20&28&36\\
\text{days}&(=3\times4)&(=5\times4)&(=7\times4)&(=9\times4)\\\hline
\end{array}\)

We can observe that number of days = number of workers × 4. Based on this,
6 workers work for 6 × 4 = 24 days. Hence, option a is incorrect.
8 workers work for 8 × 4 = 32 days. Hence, option b is incorrect.
11 workers work for 11 × 4 = 44 days. Hence, option c is correct.
13 workers work for 13 × 4 = 52 days. Hence, option d is incorrect.