Subjects algebra

Snowfall Rate 17B174

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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