X is DIRECTLY proportional to y, and X=500 when Y=200. find k, the constand of variation .
2006-07-22 07:02:13 · 5 answers · asked by investing1987 3 in Education & Reference ➔ Homework Help
if x is directly proportional to y then x must be constant times y
or mathematically we can write it as x=k*y where 'k' is the constant of proportionality.since when x=500,y=200 it must satisfy the equation.so plugging in 500=k*200=>k=500/200
which gives the value of the constant of proportionality as 2.5
2006-07-22 07:25:02 · answer #1 · answered by raj 7 · 1⤊ 1⤋
If x is directly proportional to y, then we can derive the equation,
x=ky, where k is the constant of proportion or variation. Solving for k for given values of x and y, k=x/y or k=500/200. This gives us an answer of k = 2.5
2006-07-22 07:23:46 · answer #2 · answered by friendofyours 2 · 0⤊ 0⤋
k = .4
the standard form of any equation is y = kx so:
200= 500k
k = 200/500 = 2/5 = .4
2006-07-22 07:13:37 · answer #3 · answered by ustinya 2 · 0⤊ 0⤋
Are you sure it works if its 'directly'? Cuz i've only seen that type of problem when its indirectly. Sorry I couldn't help.
2006-07-22 07:06:56 · answer #4 · answered by ♪Grillon♫ 3 · 0⤊ 0⤋
.4
2006-07-22 07:36:06 · answer #5 · answered by nobody722 3 · 0⤊ 0⤋