Question

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?

Because Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater.
Because Five-thirds less-than three-halves, the slope of the climbing equipment at the playground is greater.
Because Three-fifths greater-than two-thirds, the slope of the climbing equipment at the gym is greater.
Because Three-fifths less-than two-thirds, the slope of the climbing equipment at the playground is greater.

Answer 1

A)

Explanation:

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.

Therefore its slope = length of the equipment vertically / length of equipment horizontally

= 6/4 = 3/2 = 1.5

And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.

Therefore slope, = 10/6 = 5/3=1.67 (approx)

Since, >

Therefore, Five-thirds greater-than three-halves, the slope of the climbing equipment at the gym is greater

(I finished the quiz and got it correct, it is A.)

Answer 2

I think its D but I'm not that sure about it.

Explanation:

Because three fifths less than two thirds, the slope of te climbing equipment at the playground is greater.