Find the maximum value of p = x+6y with constraints 2x+4y< 10 x+9y< 12 x> 0 y> 0

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.