Question

If the water level of the rain in 34 feet in 3 days and 62 feet in 10 days but in was 22 before it rains what is the slope

Answer 1

To find the slope, we first need to determine the change in water level over the given time period.

1. **Initial Water Level**: 22 feet
2. **Water Level after 3 Days**: 34 feet
- Change in water level over 3 days: \( 34 - 22 = 12 \) feet
3. **Water Level after 10 Days**: 62 feet
- Change in water level over 10 days: \( 62 - 22 = 40 \) feet

Next, we calculate the slope for each time period:

### Slope Calculation for 3 Days
- Change in water level = 12 feet
- Time period = 3 days
- Slope = \( \frac{\text{Change in water level}}{\text{Time period}} = \frac{12 \text{ feet}}{3 \text{ days}} = 4 \text{ feet per day} \)

### Slope Calculation for 10 Days
- Change in water level = 40 feet
- Time period = 10 days
- Slope = \( \frac{\text{Change in water level}}{\text{Time period}} = \frac{40 \text{ feet}}{10 \text{ days}} = 4 \text{ feet per day} \)

In both cases, the slope is consistent.

### Final Slope
Thus, the slope (rate of change of water level with respect to time) is **4 feet per day**.