p= kq^3. when p= 9 , q= 3 a) calculate the value of k b) calculate p when q= 6 c) calculate p when q= 1 d) calculate q when p= 5
76
1 answer:
Answer:
see explanation
Step-by-step explanation:
Given
p = kq³
(a)
To find k use the condition when p = 9, q = 3, that is
9 = k × 3³ = 27k ( divide both sides by 27 )
k =
= 
p =
q³ ← equation of variation
(b)
When q = 6, then
p =
× 6³ =
× 216 = 72
(c)
When q = 1, then
p =
× 1³ = 
(d)
When p = 576 , then
576 =
q³ ( multiply both sides by 3 )
1728 = q³ ( take the cube root of both sides )
q =
= 12
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