Question

10
A construction worker is using a crane to lower a steel beam to the ground.
There is a linear relationship between the time the beam is being lowered, in minutes, and the height of the beam, in feet.
Time (minutes) Height (feet)
2 160
4 140
6 120
8 100 the beams height by per minuye

Answer 1

To find the decrease in height of the beam per minute, we can look at the linear relationship you provided.

We have the following data points:

- At 2 minutes, the height is 160 feet.
- At 4 minutes, the height is 140 feet.
- At 6 minutes, the height is 120 feet.
- At 8 minutes, the height is 100 feet.

Let's calculate the decrease in height between two consecutive time points:

1. From 2 minutes to 4 minutes:
- Height decreases from 160 feet to 140 feet.
- Change in height = 160 - 140 = 20 feet over 2 minutes.
- Rate = 20 feet / 2 minutes = 10 feet per minute.

2. From 4 minutes to 6 minutes:
- Height decreases from 140 feet to 120 feet.
- Change in height = 140 - 120 = 20 feet over 2 minutes.
- Rate = 20 feet / 2 minutes = 10 feet per minute.

3. From 6 minutes to 8 minutes:
- Height decreases from 120 feet to 100 feet.
- Change in height = 120 - 100 = 20 feet over 2 minutes.
- Rate = 20 feet / 2 minutes = 10 feet per minute.

Based on these calculations, the beam is lowered by **10 feet per minute** consistently.