How many pounds of nails costing $7 per pound must be mixed with 6 pounds of nails costing $3 per pound to yield a mixture costi
1 answer:
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Answer:
k = 36 and r = 8
Step-by-step explanation:
Given that r varies directly as p and inversely as q² then the equation relating them is
r = ← k is the constant of variation
To find k use the condition r = 27 when p 3 and q = 2, thus
27 = ( multiply both sides by 4 )
108 = 3k ( divide both sides by 3 )
k = 36
r = ← equation of variation
When p = 2 and q = 3, then
r = =
= 8