1. **State the problem:**
We are given a linear relationship between snowfall depth (in inches) and time (in hours). The graph shows snowfall increasing from 0 inches at 0 hours to 6 inches at 4 hours.
2. **Find the total snowfall after 4 hours:**
From the graph, the point at 4 hours is (4, 6), meaning 6 inches of snow have fallen in 4 hours.
3. **Determine the ratio of snowfall to time (unit rate):**
The ratio is snowfall divided by time:
$$\text{ratio} = \frac{6 \text{ inches}}{4 \text{ hours}}$$
Simplify the fraction:
$$\frac{6}{4} = \frac{\cancel{2} \times 3}{\cancel{2} \times 2} = \frac{3}{2}$$
Expressed as a mixed number:
$$1 \frac{1}{2} \text{ inches per hour}$$
4. **Identify the point corresponding to the unit rate:**
The unit rate corresponds to the point where time is 1 hour and snowfall is $1 \frac{1}{2}$ inches, or (1, $1 \frac{1}{2}$).
**Final answers:**
- (a) 6 inches
- (b) $1 \frac{1}{2}$ inches per hour
- (c) The point $(1, 1 \frac{1}{2})$ on the graph
Snowfall Rate 17B174
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.