COMBINED VARIATION
If y varies directly as x and inversely as z, and y = 14 when x = 28 and z = 2
find x when y = 24 and 2 = 6.
Step 1: Write the correct equation. Combined variation problems are solved using a combination of variation equations.
In this case we will combine the direct and inverse variation equations.
Step 2: Use the information given in the problem to find the value of k.
In this case, you need to find k when y = 14 when x = 28 and 2 = 2
Step 3: Rewrite the equation from step 1 substituting in the value of k found in step 2.
Step 4: Use the equation found in step 3 and the remaining information given in the problem to answer the question asked.
In this case, you need to find x when y = 24 and z = 6.
If y varies directly as x and inversely as z, and y = 14 when x = 28 and z = 2
find x when y = 24 and 2 = 6.
Step 1: Write the correct equation. Combined variation problems are solved using a combination of variation equations.
In this case we will combine the direct and inverse variation equations.
Step 2: Use the information given in the problem to find the value of k.
In this case, you need to find k when y = 14 when x = 28 and 2 = 2
Step 3: Rewrite the equation from step 1 substituting in the value of k found in step 2.
Step 4: Use the equation found in step 3 and the remaining information given in the problem to answer the question asked.
In this case, you need to find x when y = 24 and z = 6.
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Answer:
y=x/z
14=28/2
14=14
24=x/6
x=104