Question

The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 288 cubic inches and a length of 12 inches, what is the constant of proportionality for the group of boxes?
3,456
24
1/24

Answer 1

@jim_thompson5910

Answer 2

I'm going to represent the length as upper case L instead of lower case l

Answer 3

The volume of a box(V) varies directly with its length(L).

so that means

V = k*L

where k is some fixed number

Answer 4

ok

Answer 5

`one of the boxes has a volume of 288 cubic inches and a length of 12 inches`

so...

V = 288
L = 12

plug these values into the equation V = k*L to get...

V = k*L
288 = k*12

now solve for k to get k = ???

Answer 6

does that make sense?

Answer 7

yes

Answer 8

@jim_thompson5910 would i divide both sides by 12 to get my answer

Answer 9

yes you would

Answer 10

to undo the multiplication of 12

Answer 11

k=24

Answer 12

correct