abarahona2296 abarahona2296
  • 13-10-2020
  • Mathematics
contestada

Find the variation constant and an equation of variation for the given situation.

y varies directly as x, and y = 7 when x = 1/2.

Respuesta :

elcharly64
elcharly64 elcharly64
  • 14-10-2020

Answer:

[tex]\displaystyle y=14\cdot x[/tex]

Step-by-step explanation:

Directly Proportion

It's said that y varies directly proportional as x, if:

[tex]y=k\cdot x[/tex]

Where k is a constant of proportionality.

We know that y=7 when x=1/2.

Using the above condition, we can find the value of k:

[tex]\displaystyle 7=k\cdot \frac{1}{2}[/tex]

Solving for k:

k=14

Thus, the equation is:

[tex]\boxed{\displaystyle y=14\cdot x}[/tex]

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