SOLUTION: suppose that y varies directly as the sqaure root of x, and that y=32 when x=16. What is y when x=50?

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Question 377513: suppose that y varies directly as the sqaure root of x, and that y=32 when x=16. What is y when x=50?
Found 2 solutions by mananth, ewatrrr:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
suppose that y varies directly as the sqaure root of x, and that y=32 when x=16. What is y when x=50?
...
+y+%28alpha%29++sqrt%28x%29
...
y+=+k%2Asqrt%28x%29
..
x=16,y=32
plug the value
...
32=k%2Asqrt%2816%29
...
32=4k
/4
k=32/4
k=8
...
y+=+k%2Asqrt%28x%29
x=50, k= 8
y=8%2Asqrt%2850%29
y =56.56
...
m.ananth@hotmail.ca

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
*Note: When Quantities vary directly,they are related by the relationship:
In general:y+=+k%2Ax k being the constant of proportionality.
y varies directly as the square root of x
y+=+k%2Asqrt%28x%29
y=32 when x=16
32 = k*4
8 = k
What is y when x=50
y+=+8%2Asqrt%2850%29=+8%2Asqrt%2825%2A2%29=+highlight%2840%2Asqrt%282%29%29+