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)
0 12
2 10
4 8
6 6
8 4
10 2

if you were to graph this information, the resulting line would represent a linear function. using this information from the table and the information on your graph, by how much does the altitude of the plane change for each three-minute change in time during the descent.
a.
the altitude of the plane decreases 2 kilometers for each 3 minutes into the descent.
b.
the altitude of the plane decreases 3 kilometers for each 3 minutes into the descent.
c.
for every 3 minutes, the altitude of the plane increases 3 kilometers.
d.
for every 3 minutes, the altitude of the plane increases 2 kilometers.

b. The altitude of the plane decreases 3 kilometers for each 3 minutes into the descent.

Step-by-step explanation:

We have been given a table of values, where x represents time in minutes and y represents the altitude of plane after .

Time, x (min.)      Altitude, y (km)

0                           12

2                           10

4                            8

6                            6

8                            4

10                           2

To find the correct relation between time and altitude of plane, we need to find slope of our given line using slope formula.

, where,

= Difference between to y-coordinates,

= Difference between two x-coordinates of same y-coordinates.

Upon substituting coordinates of points (0,12) and (10,2) in slope formula we will get,

This means that altitude of plane decreases 1 km for each one minute.

Upon looking at our given choices, we can see that option b is the correct choice as in minutes altitude of plane will decrease 3 kilometers.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes