Suppose y varies directly as x and y=27 when x=3. Find x when y = 45.
I need help with one.
Suppose y varies directly as x and y=27 when x=3. Find x when y = 45.
'Varies directly' most likely means an equation of the form y = x + k
Where k is a constant. So as x increases by some amount, y increases by that same amount.
change in y = change in x
y2 - y1 = x2 - x1
45 - 27 = x2 - 3
18 = x2 - 3
21 = x2
when y = 45, x = 21
Here is one way.
"y varies directly as x"
y ------> x
y = kx ----the equation.
y=27 when x=3
27 = k*3
k = 27/3 = 9
When y = 45,
45 = 9x
x = 45/9 = 5 ---answer.
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Another meaning of "y varies directly as x" is:
if x goes higher, then y goes higher too; if x goes lower, then y goes lower too....proportionately.