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While on a trip, you notice that the video screen on the airplane, in addition to showing movies and news, records your altitude (in kilometers) above the ground.

As the plane starts its descent
(at time x = 0), you record the following data: Time, x (min.) Altitude, y (km)
12 0 10 8 16 16 18 4 110 12

If you were to graph these points on a graph, you would notice that the line that forms represents a linear function. What is the practical meaning of slope in this situation?

a. For every minute that passes, the airplane descends 1 kilometer.
b. For every minute that passes, the airplane ascends 1 kilometer.
c. For every 2 minutes that passes, the airplane descents 1 kilometer.
d. For every minute that passes, the airplane ascends 2 kilometers. C. ​

While On A Trip You Notice That The Video Screen On The Airplane In Addition To Showing Movies And News Records Your Altitude In Kilometers Above The Ground As class=

Sagot :

selenakemplin

Answer:

a

Step-by-step explanation:

edg 2020

For every minute that passes, the airplane descends 1 kilometer. then option a is correct.

How to find the rate of change of a linear equation?

Suppose that the considered linear equation is of the form

y=mx+c

Then, when we change x by 1 unit, then:

The rate of change is the slope. The formula for slope is

m = y2 - y1 / x2 - x1

Using the first two points, (0, 12) and (2, 10), we have

m = (10-12)/(2-0)

m  = -2/2

m = -1

This means the plane descends 1 km per minute which means in 3 minutes' time, the plane descends 3 km.

Therefore, option a. For every minute that passes, the airplane descends 1 kilometer.

Learn more about the rate of change of a linear equation here:

https://brainly.com/question/12786410

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