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

Answer 1

Answer:

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, the slope of Bob’s mountain is steeper than the slope of Joe’s mountain.

Answer 2

Mountain Climber Bob's slope(9/10) is steeper than mountain climber Joe's slope(4/5).

Mountain Climber Joe's slope = $\frac{Length of rise of the mountain}{Lenght of path of the mountain}$

= $\frac{1200}{1500}$

∴ Slope of climber Joe's mountain = $\frac{4}{5}$

Mountain Climber Bob's slope = $\frac{Length of rise of the mountain}{Lenght of path of the mountain}$

= $\frac{900}{1000}$

∴ Slope of climber Bob's mountain = $\frac{9}{10}$

$\frac{4}{5}$ <  $\frac{9}{10}$

∴ Slope of climber Joe's mountain < Slope of climber Bob's mountain