Question

Please answer I really need help....​

Answer 1

Answer:

A. Ordered pairs, (x,y)=(5, 25500)

B. The table is as shown;

x (in minutes)                               y in (feet)

0                                                  28,000

5                                                  25,500

8                                                  24,000

10                                                 23,000

C. The ordered pair (x,y) that represents the initial value is (0, 28,000). The initial value represents the altitude of the plane before it starts descending.

D. The rate of change of the expression is a measure of how much the altitude changes with respect to the time. The rate of change=-500 ft/minute, meaning that the altitude of the plane decreases at the rate of 500 feet per minute.

Explanation:

A.

Step 1: Determine the expression for the altitude at time x

The expression for the altitude at a given time x is;

y=-500 x+28,000

where;

y=altitude, in feet

x=number of minutes after descending

Step 2: Determine altitude, y when x is 5 minutes

Using the expression above;

y=-500 x+28,000

but x=5 minutes

substitute the value of x above in the expression and solve for y;

y=-(500×5)+28,000

y=-2,500+28,000

y=(28,000-2,500)=25,500 feet

When x=5, y=25,500

Ordered pairs, (x,y)=(5, 25500)

B.

Step 3: Create a table for various values of x.

Substitute the given values for x in the expression to determine the corresponding altitude y of the plane. The values for x given are; 0, 5, 8, 10, 30

Determine y, when x=0

y=-(500×0)+28,000

y=0+28,000=28,000 feet

Determine y, when x=5

y=(-500×5)+28,000

y=-2,500+28,000

y=25,500 feet

Determine y, when x=8

y=(-500×8)+28,000

y=-4,000+28,000

y=24,000 feet

Determine y, when x=10

y=(-500×10)+28,000

y=-5,000+28,000

y=23,000 feet

The table is as shown;

x (in minutes)                               y in (feet)

0                                                  28,000

5                                                  25,500

8                                                  24,000

10                                                 23,000

C. The ordered pair (x,y) that represents the initial value is (0, 28,000). The initial value represents the altitude of the plane before it starts descending.

D. The rate of change of the expression is a measure of how much the altitude changes with respect to the time. This is also known as the velocity. To determine the rate of change, we need to differentiate the value of y with respect to x as shown;

y=-500 x+28,000

(dy/dx)=-500+0

(dy/dx)=-500 ft/minute

This means that the altitude of the plane decreases at the rate of 500 feet per minute.