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Sagot :
Answer:
a) 20
b) 6
Step-by-step explanation:
When a relation is a direct proportion, it means there is a constant of proportionality that relates the dependent variable to the quantity it is proportional to. That means we can write the equation as ...
M = kr³ . . . . . for constant of proportionality k
We can find k from the given points:
k = M/r³ = 160/4³ = 2.5
So the relation is ...
M = 2.5r³
__
a)
For r = 2, we have ...
M = 2.5(2³) = 20 . . . . the value of M when r=2
__
b)
For M=540, we have ...
540 = 2.5r³
r³ = 540/2.5 = 216
r = ∛216 = 6 . . . . . the value of r when M=540
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