Answer:
To find the proportion of time, you can set up a ratio using the given values:
\[\frac{40}{56} = \frac{x}{60}\]
Here, \(x\) represents the unknown time in minutes that corresponds to the given 40 minutes out of 56 minutes.
To solve for \(x\), first, simplify the ratio:
\[\frac{40}{56} = \frac{5}{7}\]
Then, set up the proportion:
\[\frac{5}{7} = \frac{x}{60}\]
To solve for \(x\), cross multiply:
\[5 \times 60 = 7 \times x\]
\[300 = 7x\]
Finally, divide both sides by 7 to solve for \(x\):
\[x = \frac{300}{7} \approx 42.86\]
So, the proportion of time that corresponds to 40 minutes out of 56 minutes is approximately 42.86 minutes.
