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Umnica [9.8K]
3 years ago
15

Suppose that y varies directly with x, and y = 10 when x = 5. What direct variation equation relates x and y? What is the value

of y when x = 2?
Mathematics
2 answers:
Naily [24]3 years ago
7 0

The constant of variation is usually given using the letter k.

To find K you would divide Y by x, so the equation becomes k = Y/x.


First find k using the first y and x values provided:

k = 10/5 = 2


Now you know k, you can solve for y when x = 2:

using the equation k =y/x, replace k and x with the known values and solve for y:

2 = y/2

y = 2*2

y = 4

tatyana61 [14]3 years ago
3 0

Answer: Linear equation y=2x


Step-by-step explanation:

If x=2

Then y=2(2)

y=4

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Step-by-step explanation:

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Given that both dQ/dT and dQ/dt are known, we have;

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Therefore, we get;

\dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = {\dfrac{dQ}{dt} } \times \dfrac{dT}{dQ} = \dfrac{dT}{dt}

\dfrac{dT}{dt} = \dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = \dfrac{12.9 \, kcal / min }{0.18 \, kcal/ ^{\circ} C }   = 71.\overline 6 \, ^{\circ } C/min

For the sample, we have the change in temperature per minute, dT/dt, presented as follows;

\dfrac{dT}{dt}  = 71.\overline 6 \, ^{\circ } C/min

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Since it is a two sided test we test whether the mean storage capacity is 60 Ah or different than 60 Ah

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