To determine how many inches of snow you would expect to have on the ground after 7 hours, you can use the following calculation:
- Current snow depth: 3.5 inches
- Snowfall rate: \( \frac{1}{4} \) inch per hour
- Duration: 7 hours
First, calculate the total snowfall over 7 hours:
\[ \text{Total Snowfall} = \text{Snowfall Rate} \times \text{Duration} = \frac{1}{4} , \text{inch/hour} \times 7 , \text{hours} = \frac{7}{4} , \text{inches} = 1.75 , \text{inches} \]
Next, add this to the current snow depth:
\[ \text{Total Snow on Ground} = \text{Current Snow Depth} + \text{Total Snowfall} = 3.5 , \text{inches} + 1.75 , \text{inches} = 5.25 , \text{inches} \]
Therefore, after 7 hours, you would expect to have 5.25 inches of snow on the ground.