SOLUTION: Can you help me solve for variation: n varies directly as q, and n=39 when q=3. Find n when q =8.

Question 278339: Can you help me solve for variation: n varies directly as q, and n=39 when q=3. Find n when q =8.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
n varies directly as q.
n = 39 when q = 3
find n when q = 8

n varies directly as q means that n = k*q

this means that:

39 = k*3

divide both sides of this equation by 3 to get:

k = 13

now that you have the value of k, you can solve for finding n when q = 8

you get:

n = k*q becomes n = 13*8 which becomes n = 104

in a direct variation problem, the ratio between n and q remains the same.

this means that n1 is to q1 as n2 is to q2.

in formula terms, this would be n1/q1 = n2/q2

in your problem, this becomes:

39/3 = 104/8

cross multiply and you get 39*8 = 3*104 which becomes 312 = 312 confirming that the ratio is the same between the 2 numbers of n/q.

RELATED QUESTIONS
Solve the variation. n varies directly as q, and n = 39 when q = 3. find n when q =... (answered by Mathtut)

Solve each variation problem. n varies directly as q, and n = 39 when q = 3. Find n... (answered by richwmiller)

I need help finding the variation constant. n varies directly as q, and n = 39 when... (answered by stanbon)

26) n varies directly as q, and n = 39 when q = 3. Find n when q =... (answered by stanbon)

q varies jointly as m and n.if q=24 when m =4 and n =3, find m when q=36 and... (answered by Alan3354)

I am struggling with this problem and don't know what it means or how to solve. Can... (answered by sarah_adam)

Please help me with my homework: *If y varies directly as x,and y=17.5 when x=5,find y (answered by Alan3354)

Can someone help me on this problem? I need to find the constant of variation k (answered by ankor@dixie-net.com)

Need help solving for n when: m/n - p =... (answered by MathLover1)