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

Question

1 month ago

11

gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the two pieces of equipment?

2 answers:

PIT_PIT [12.4K] · Answer 1 · 2026-02-23T08:13:49+03:00

7 0

<span>Since 5/3 is greater than 3/2, the slope of the gym's climbing equipment is larger.</span>

AnnZ [12.3K] · Answer 2 · 2026-02-23T08:10:57+03:00

Response: The following comparison is made.

Detailed explanation:

At the playground, a climbing structure is 6 feet high and stretches 4 feet horizontally.

The slope can be calculated as vertical height divided by horizontal length.

$m_1$ = 6/4 = 3/2 = 1.5

In contrast, a climbing structure in the gym stands 10 feet tall, extending 6 feet horizontally.

Therefore, slope, $m_2$ = 10/6 = 5/3 = 1.67 (approximately)

As such, $m_1$ < $m_2$

Thus, the slope of the first climbing structure is less than that of the second.