Questions: Joe's mountain had a rise of 1200 and a run of 1500, making the slope of the mountain 4 / 5. Bob's mountain had a rise of 900 and a run of 1000, making the slope of the mountain 9 / 10. Since 9 / 10 is larger than 4 / 5, Bob climbed the steeper mountain.

Solution Steps

To determine the slope of a mountain, we use the formula for slope, which is the rise (vertical change) divided by the run (horizontal change). We calculate the slope for both Joe's and Bob's mountains using their respective rise and run values. Then, we compare the two slopes to determine which mountain is steeper.

To find the slope of Joe's mountain, we use the formula for slope, which is the rise divided by the run. For Joe's mountain, the rise is 1200 and the run is 1500. Therefore, the slope is calculated as follows:

\[ \text{slope of Joe's mountain} = \frac{1200}{1500} = \frac{4}{5} \]

Similarly, for Bob's mountain, the rise is 900 and the run is 1000. The slope is calculated as:

\[ \text{slope of Bob's mountain} = \frac{900}{1000} = \frac{9}{10} \]

To determine which mountain is steeper, we compare the slopes. The slope of Bob's mountain is \(\frac{9}{10}\) and the slope of Joe's mountain is \(\frac{4}{5}\). Since \(\frac{9}{10} > \frac{4}{5}\), Bob's mountain is steeper.

Final Answer