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= 576

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

a is the correct

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.