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kiruha [24]
3 years ago
11

Find the constant of variation k for the direct variation. 4x = -6(y)

Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

Answer: k=-\frac{2}{3}

Step-by-step explanation:

By definition, a direct varition is expressed as following:

y=kx

 Then, <em>y </em>is directly proportional to <em>x </em>and <em>k</em> is the constant of variation.

Therefore, given the direct variation:

4x=-6y

You must solve for the variable <em>y </em>as you can see below:

4x=-6y\\\\y=-\frac{4}{6}x\\\\y=-\frac{2}{3}x

Therefore, as you can see,  the constant of variation is the following:

k=-\frac{2}{3}

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A submarine traveling 200 meters below the surface of the ocean increases its depth by 45 meters. Adam says that the new locatio
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Answer:

The error that Adam could have made is added 45 to the depth of

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Step-by-step explanation:

* Lets explain how to solve the problem

- A submarine traveling 200 meters below the surface of the ocean

- Increases its depth by 45 meters

- Adam says that the new location of the submarine is -155 meters

- We need to know the error of Adam

∵ We consider the surface of the ocean is the zero level

∵ The submarine is 200 meters below the surface of the ocean

∵ Below means negative

∴ The depth of submarine is -200 meters

∵ It increases the depth by 45 meters

- <em>That means it travels down another 45 meters</em>

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∴ The depth of submarine = -200 + (-45) = -245 meters

∴ The depth of submarine is 245 below the surface of the ocean

- Adam could thought that the submarine traveled up for 45 meters

 then he add 45 to -200

∵ -200 + 45 = -155 meters

∴ The error that Adam could have made is added 45 to the

   depth of submarine instead of adding -45

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