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viva [34]
3 years ago
14

Let y = safe load in pounds and x = length in feet of a horizontal beam. A constant of proportionality k exists such that y=k/x

. y varies inversely as x. Determine the constant k for a beam with y = 2,000 pounds and x = 15 feet. a. 133.3 b. 3,000 c. 30,000
Mathematics
1 answer:
Contact [7]3 years ago
7 0

Answer:

Option c. 30,000

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

Let

y ----> safe load in pounds

x ----> length in feet of a horizontal beam

we have

For x=15\ feet, y=2,000\ pounds

Remember that

k=y*x

substitute

k=2,000*15=30,000

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