If c varies directly as the square root of d, and c=14, when d = 64, find c when d= 324
1 answer:
Answer:
c = 31.5
Step-by-step explanation:
Given c varies directly as then the equation relating them is
c = k ← k is the constant of variation
To find k use the condition c = 14 when d = 64, then
14 = k × = 8k ( divide both sides by 8 )
1.75 = k
c = 1.75 ← equation of variation
When d = 324 , then
c = 1.75 × = 1.75 × 18 = 31.5
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