Solve
Step
The goal is to find k, then H.
the square g, square root f
If H = 160, when g = 4 and f = 25
160 = 16(5)k
160 = 80k
k = 2
H = 2(1)(9) = 18
H varies jointly with the square g and the square root f. If
H = 160, when g = 4 and f = 25.
Find H , when g = 1 and f = 81
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Solve |
Step |
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The goal is to find k, then H. |
Plug in the values |
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Use
the formula for joint variation the square g, square root f |
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If H = 160, when g = 4 and f = 25 |
Given |
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Plug in g, f and H |
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160 = 16(5)k |
Perform operations |
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160 = 80k |
Divide by 80 |
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k = 2 |
constant of proportionality |
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The formula |
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Plug in 1 and 81 to find H |
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H = 2(1)(9) = 18 |
Done!! |