aletadaboss
aletadaboss aletadaboss
  • 22-08-2020
  • Mathematics
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y varies directly with x, y=8 when x=5. Find y when x=10. Picture attached, 15 points and I'll give Brainliest! Due in 2 hours.

y varies directly with x y8 when x5 Find y when x10 Picture attached 15 points and Ill give Brainliest Due in 2 hours class=

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xKelvin
xKelvin xKelvin
  • 22-08-2020

Answer:

16

Step-by-step explanation:

A direct variation equation has the following format:

[tex]y=kx[/tex]

Where k is the constant of proportionality.

Therefore, we want to find k.

We know that when x=5, y=8. Substitute the values:

[tex]8=5k[/tex]

Divide both sides by 5:

[tex]k=\frac{8}{5}[/tex]

Thus, the constant of proportionality is 8/5 or 1.6. So, our equation is:

[tex]y=\frac{8}5x[/tex]

To find y when x is 10, plug in 10:

[tex]y=\frac{8}{5}(10)\\y=80/5=16[/tex]

Thus, y is 16.

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