I understand the basics of variations, but am having trouble when numbers are applied. For example, I have the following problem:
"Assume that
y is directly proportional to
x. Use the given
x-value and
y-value to find a linear model that relates
y and
x.
x =
9,
y =
36 "
y is directly proportional to x ... y = kx
y = 4x ... would be a linear equation, right?
The same goes for this problem:
"Find a mathematical model representing the statement. (In each case, determine the constant of proportionality.)
y is inversely proportional to
x. (
y = 7 when
x =
32.)"
y is inversely proportional to x ...