Identify the variation then, write the equation. Solve the unknown. Show your solution.
1. c varies directly as a and c = 30 when a = 5. Find c when a = 15.
2. If y varies directly as x2, and y=24 when x =4. Find y when x = -4.
3. Suppose m is inversely proportional to n and when n=5, m=12. Find m when b=12.
4. a varies jointly as r and t. If a=45 when r=15 and t=14, find a when r=21 and t=8.
a varies directly as r and
5. inversely as the square of v. If a=15 when r=21 and v=8,
find v when r=4.5 and a=10.
1. c varies directly as a and c = 30 when a = 5. Find c when a = 15.
2. If y varies directly as x2, and y=24 when x =4. Find y when x = -4.
3. Suppose m is inversely proportional to n and when n=5, m=12. Find m when b=12.
4. a varies jointly as r and t. If a=45 when r=15 and t=14, find a when r=21 and t=8.
a varies directly as r and
5. inversely as the square of v. If a=15 when r=21 and v=8,
find v when r=4.5 and a=10.
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Answer:
1.
Mathematical Sentence:
Solution for k:
Final Solution for c:
2.
Mathematical Sentence:
Solution for k:
Final Solution for y:
3.
Mathematical Sentence:
Solution for k:
4.
Mathematical Sentence:
Solution for k:
Final Solution for a:
5.
The question is too complicated. It will be irrational.
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