Question

mountain climber joe climbed to a mountain peak that was 1200 feet above its base and 1500 feet east of its base. mountain climber bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base. who climbed a steeper mountain? explain.

Explanation:

Step1: Calculate Joe's mountain slope

The slope formula is $m = \frac{\text{rise}}{\text{run}}$. For Joe, the rise is 1200 feet and the run is 2500 feet. So, $m_{Joe}=\frac{1200}{2500}=\frac{12}{25}= 0.48$.

Step2: Calculate Bob's mountain slope

For Bob, the rise is 900 feet and the run is 1000 feet. So, $m_{Bob}=\frac{900}{1000}=0.9$.

Step3: Compare the slopes

Since $0.9>0.48$, Bob's mountain has a steeper slope.

Answer:

Bob climbed a steeper mountain because the slope of the mountain Bob climbed ($0.9$) is greater than the slope of the mountain Joe climbed ($0.48$).