If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?
Asked by maham237 @ in Mathematics viewed by 318 People
Answered by maham237 @
The first statement "y varies directly as x" means that as y increases, x also increases. To help us we need to assign a proportionality constant, k. We can now say:
y=kx where k is just a constant. Then substitute the values,
180=kn
n=5k
With these equation we know that k is equal to (positive or negative) 6 and therefore we can get n to be (positive or negative) 30.
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