Question

Can someone help me please I forgot how to do this problem

12. If m varies directly with n and m=6 when n=9, what is the value of n when m=8

a.) n=24
b.) n=12
c.) n=16/3
d.) n=24/4

Answer 1

m varies directly implies
m = kn for some k, so we need to figure out k
use the first point they gave
let m = 6 and n = 9

m = kn becomes 9 = k6 so k= 3/2

so m=(3/2)n now lets find the answer to the question asked i.e. let m=8
8=(3/2)n implies n = ?

Answer 2

i dont know what it is

Answer 3

can you solve \(8=\frac{3}{2}n\) for \(n\)?

If not you need to backup and catchup on what you have missed as I dont think it would be a great idea to move forward.

Answer 4

\(8=\frac{3}{2}n\)

multiply both sides by \(\frac{2}{3}\) to get \(n\) by itself.

\((\frac{2}{3}) 8 = (\frac{2}{3})(\frac{3}{2} )n \)
\((\frac{2}{3}) 8 = (\frac{\cancel{2}}{\cancel{3}})(\frac{\cancel{3}}{\cancel{2}} )n \)

so

\(n = (\frac{2}{3})8=(\frac{2}{3})(\frac{8}{1})=\large \frac{?}{?}\)

Answer 5

@DJ3strella ?

Answer 6

im not good at fractions

Answer 7

the problem you asked is like two classes away from knowing what \((\frac{2}{3})(\frac{8}{1})\)


hint: \((\frac{a}{b})(\frac{c}{d})=\frac{a*c}{b*d}\)