Y varies directly as x and inversely as l , find x when y=25 ,y=45, x=? ,x=18, l=30, l=52.

Answer 1

y=kx/L

y=25, y=45

x = ?, x= 18

L = 32, L=52

trying to makes sense of this, maybe

45 = 18k/52

divide by 9

5 = 2k/52

cancel 2 on the right side

5 = k/26

multiply both sides by 26

k = 5(26) = 130= the constant of variation

y = 130x/L

plug in the y, L numbers to find x=?

25 = 130x/30

divide by 5

5 = 26x/30

cancel 2 on right side

5 = 13x/15

multiply both sides by 15

13x = 75

divide both sides by 13

x =75/13 = about 5.77

x = approximately 5.77 when L=30 and y =25

(if I read the problem correctly)