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tykeria58
29.01.2020 •
Mathematics
The force, f, needed to break a board varies inversely with the length, l, of the board. if it takes 24 pounds of pressure to break a board that is 2 feet long, how many pounds of pressure would it take to break a board that is 5 feet long?
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Ответ:
9.6 pounds of pressure
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
or ![y=k/x](/tpl/images/0482/9864/207d6.png)
so
In this problem
step 1
Find the value of k
For![F=24\ lb, L=2\ ft](/tpl/images/0482/9864/5b148.png)
substitute
The equation is equal to
step 2
For![L=5\ ft](/tpl/images/0482/9864/466d1.png)
Find the value of F
substitute the value of L in the equation
Ответ: