Amadou had 4 inches of snow on his lawn. It then began to snow at a rate of 3 inches per hour. Assume no snow melted. Answer the questions below regarding the relationship between the number of hours since snow began falling and the total amount of snow on Amadou's lawn. A function relating these variables is K, left parenthesis, x, right parenthesis, equalsK(x)=

The function \( K(x) \) represents the total amount of snow on Amadou's lawn, given the number of hours \( x \) since it started snowing at a rate of 3 inches per hour, on top of the initial 4 inches already on the ground.

Since the rate of snowfall is constant, the relationship is linear. We can write the function as:

\[
K(x) = 3x + 4
\]

where:
- \( x \) is the number of hours since the snowfall began,
- \( 3x \) represents the additional snow accumulated over \( x \) hours (at 3 inches per hour),
- \( 4 \) is the initial amount of snow already on the lawn before it started snowing.

### Summary
Thus, the function \( K(x) = 3x + 4 \) gives the total snow accumulation in inches on Amadou's lawn after \( x \) hours.

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#### Related Questions:
1. How much snow will be on Amadou's lawn after 5 hours?
2. At what time will there be 25 inches of snow on the lawn?
3. How does the function change if the snowfall rate doubles?
4. How would the function change if the snowfall rate decreased to 2 inches per hour?
5. What if there were initially no snow on the ground?

#### Tip:
In problems involving rates and initial values, identify the initial condition and the rate of change to set up a linear equation accurately.

Amadou had 4 inches of snow on his lawn. It then began to snow at a rate of 3 inches per hour. Assume no snow melted. Answer the questions below regarding the relationship between the number of hours since snow began falling and the total amount of snow on Amadou's lawn.

Explore how to calculate total snow accumulation on Amadou's lawn as it snows at a rate of 3 inches per hour on top of an initial 4 inches. Learn about the linear function K(x) = 3x + 4 and its implications. Suitable for students in Grades 6-8.

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