At the end of a snow storm, Nachelle saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 14 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, comma*S*, in terms of t, comma*t*, representing the depth of snow on Nachelle's lawn, in inches, t*t* hours after the snow stopped falling.

To represent the depth of snow on Nachelle's lawn in terms of time after the snow stopped falling, we start by understanding the following:

1. **Initial depth of snow**: 14 inches.
2. **Rate of melting**: 2 inches per hour.

Let:
- \( S \) represent the depth of snow (in inches) on the lawn.
- \( t \) represent the time in hours after the snow stopped falling.

Since the snow is melting at a steady rate, the depth of snow decreases linearly with time. We can express this as:

\[
S = 14 - 2t
\]

### Explanation:
- The initial amount of snow, 14 inches, decreases by 2 inches for every hour that passes, hence the term \(-2t\).

### Final equation:
\[
S = 14 - 2t
\]

This equation represents the depth of snow on Nachelle's lawn \( t \) hours after the storm stopped.

Would you like more details or have any questions?

---

1. What is the depth of snow after 3 hours?
2. How long will it take for all the snow to melt?
3. If the melting rate changed to 1.5 inches per hour, what would the equation be?
4. How much snow would remain after 5 hours?
5. What would the equation be if the snow depth started at 20 inches?

**Tip**: Linear equations like this are commonly used to represent situations with a constant rate of change, such as melting or draining rates.

At the end of a snow storm, Nachelle saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 14 inches of snow on the lawn when the storm ended and then it started melting at a rate of 2 inches per hour. Write an equation for S, in terms of t, representing the depth of snow on Nachelle's lawn, in inches, t hours after the snow stopped falling.

Understand how to calculate the depth of snow remaining on Nachelle's lawn after a snow storm, given a starting depth of 14 inches and a melting rate of 2 inches per hour. Suitable for students in Grades 6-8, this problem introduces linear equations with a real-life scenario.

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