To determine which slope Lindsey should choose based on the steepness, we need to calculate the rate of change (slope) for both Slope A and Slope B.
The rate of change (slope) is given by the formula:
\[ \text{slope} = \frac{\text{vertical change}}{\text{horizontal change}} \]
For Slope A: \[ \text{slope A} = \frac{15 \text{ feet}}{24 \text{ feet}} = \frac{15}{24} = \frac{5}{8} = 0.625 \]
For Slope B: \[ \text{slope B} = \frac{12 \text{ feet}}{16 \text{ feet}} = \frac{12}{16} = \frac{3}{4} = 0.75 \]
Now, we compare the slopes:
- Slope A: 0.625
- Slope B: 0.75
Since Slope B has a greater rate of change (0.75 > 0.625), it is steeper than Slope A.
Therefore, Lindsey should choose Slope B because it has a greater rate of change.