To determine which slope is steeper, we need to calculate the slope (or the rate of change) for both Slope A and Slope B.
Slope A:
- Vertical change: 15 feet
- Horizontal change: 24 feet
The slope (m) is calculated as: \[ m = \frac{\text{vertical change}}{\text{horizontal change}} = \frac{15}{24} = \frac{5}{8} \]
Slope B:
- Vertical change: 12 feet
- Horizontal change: 16 feet
Similarly, the slope for B is: \[ m = \frac{12}{16} = \frac{3}{4} \]
Now let's compare the two slopes:
- Slope A = 5/8 = 0.625
- Slope B = 3/4 = 0.75
Since 3/4 (or 0.75) is greater than 5/8 (or 0.625), Slope B is steeper than Slope A.
Therefore, the correct choice is:
Slope B because it has a greater rate of change.