Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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 :

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

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.