1 point
The area of an airplane's wings is related to the airplane's lifting force,
which holds the airplane in the air. The table below lists several wing areas
and the corresponding lifting forces. The ratio of lifting force to area is
equivalent for all pairs in the table. What are the values of x and y?*
AIRPLANE LIFTING FORCE
Area of Wings Lifting Force
(square feet) (pounds)
125
1,875
150
175
2,625
250
3,750
x
5,625
420
2,250
O
x = 375 square feet and y = 7,500 pounds
O
x= 335 square feet and y = 6,300 pounds
O
x= 335 square feet and y = 7,500 pounds
O
x = 375 square feet and y = 6,300 pounds

Explanation:

The table is:

AIRPLANE LIFTING FORCE

Area of Wings   Lifting Force

(square feet)        (pounds)

    125                    1,875

    150                   2,250

    175                   2,625

    250                  3,750

       x                    5,625

    420                      y

The ratio of lifting force to the area is equivalent for all pairs in the table. What are the values of x and y?

1. Calculate x:

Ratio of lifting force to the area for the first pair (row):

Ratio of lifting force to area for the pair with x:

Set the proportion:

Equal the two ratios

Multiply both sides by 5,625 (multiplication property of equalities):

2. Calculate y:

You can use the same know ratio for the first pair: 125/1,875

And set the corresponding proportion, with y:

Invert both sides:

Multiply both sides by 420

The answer is x = 375 square feet and y = 6,300 pounds.

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: