Question

1 point

Answer 1

Answer:

• 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):

• 125/1,875

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

• x/5,625

Set the proportion:

Equal the two ratios

• x/5,625 = 125/1,875

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

• x = 5,625 × 125/1,875

• x = 375 ← answer

2. Calculate y:

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

And set the corresponding proportion, with y:

• 420/y = 125/1,875

Invert both sides:

• y/420 = 1,875/125

Multiply both sides by 420

• y = 420 × 1,875/125

• y = 6,300 ← answer

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