The weight P in pounds that a beam can safely carry is inversely proportional to the distance D in feet between the support beams. for a certain type of wooden beam, p=9200/

d. what distance between supports is needed to carry 1600 lb

Rewriting the function we have:

p = 9200 / D

We must in this case clear the value of D.

We have then:

D = 9200 / p

Substituting the value of p = 1600 lb we have:

D = 9200/1600

D = 5.75 feet

Answer:

the distance between supports that is needed to carry 1600 lb is:

D = 5.75 feet