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?
Accepted Solution
A:
Answer:9.6 pounds of pressureStep-by-step explanation:we know thatA relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]soIn this problem[tex]F*L=k[/tex]step 1Find the value of kFor [tex]F=24\ lb, L=2\ ft[/tex]substitute[tex]k=(24)(2)=48[/tex]The equation is equal to[tex]F*L=48[/tex]step 2For [tex]L=5\ ft[/tex]Find the value of Fsubstitute the value of L in the equation[tex]F*(5)=48[/tex][tex]F=48/5=9.6\ lb[/tex]