contestada

y is directly proportional to x.
when x=500, y=10
find a formula for y in terms of x.

Respuesta :

Answer:

y= (1/50)*x

Step-by-step explanation:

y in terms of x means "have y equal to something with x in it"

something like this: y = 1243 +1/2x

so with our problem, we're given that y = 10 and x= 500 so let's set up our equation to look like the the equation above (with y on one side and x on the other)

10  = 500

(y = x)

ok..... obviously this equation itself mathematically is wrong, so let's fix it!

let's keep in mind the "directly proportional" part because that hints that there's a consistent slope with no y-intercept (y=  kx) meaning we can't subtract 490 on both sides and call it a day. We have to multiply or divide x to get our y-value of 10.

well....

10 = 500/50     is true

so,

y = x/50 or y = (1/50)*x