Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

M is directly proportional to [tex]r^{3}[/tex]
when r = 4, M = 160
a) work out the value of M when r = 2.
b) work out the value of r when M = 540.

Sagot :

sqdancefan

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

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.