Question

In digging a hole the construction crew records the location of the bottom of the hole relative to ground level in the first three hours the crew dig at a rate of -2.75 feet each hour how many feet would the crew record after three hours? Write an expression representing this situation

Answer 1

To represent the situation where the construction crew is digging at a rate of -2.75 feet per hour for three hours, you can use the following expression:

\[
\text{Total depth} = \text{rate of digging} \times \text{time}
\]

In this case, the rate of digging is -2.75 feet/hour, and the time is 3 hours. Therefore, the expression becomes:

\[
\text{Total depth} = -2.75 \, \text{feet/hour} \times 3 \, \text{hours}
\]

Now, calculate the total depth:

\[
\text{Total depth} = -2.75 \times 3 = -8.25 \, \text{feet}
\]

After three hours, the crew would record the bottom of the hole at **-8.25 feet** relative to ground level.