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jeyben [28]
3 years ago
8

1 point

Mathematics
1 answer:
Lana71 [14]3 years ago
8 0

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?

<u>1. Calculate x:</u>

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

<u>2. Calculate y:</u>

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.

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