Question

Use the situation to answer the questions. Moving at a constant rate, a trench machine is advertised as being able to dig 36-foot trenches in 40 minutes. A farmer uses the same machine to dig trenches that are 58.5 feet long, with each trench taking 65 minutes to complete.there's two questions that go with this situation

Answer 1

The machine is advertised as being able to dig 36-foot trenches in 40 minutes:

Since it moves at a constant rate:

$\begin{gathered} \frac{36}{40}=0.9,\text{ }\frac{58.5}{65}=0.9 \\ 0.9\text{ fe}e\text{t each minute} \\ \text{Let x be the time in minutes} \\ \text{Let y be trench lenght in f}eet \\ y=0.9x \end{gathered}$

The unit rate of the situation is 0.9 feet per min.