A variable ‘c’ varies directly with the square of m and inversely with w and c = 18 when m = 6 and w = 4. The value of c when m = 20 and w = 16 will be.
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Example 1 – If y varies directly as x and inversely as z, and y = 24 when x = 48 and z = 4, find x when y = 44 and z = 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 1
Step 2: Use the information given in the problem to find the value of k. In this case, you need to find k when x = 48, y = 24, and z = 4.
Step 2
Step 3: Rewrite the equation from step 1 substituting in the value of k found in step 2.
Step 3
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 = 44 and z = 6.
Step 4
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