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Answered

y is directly proportional to x. Given that y = 20 when x = 2, find the value of y
when x = 4​

Sagot :

ROBBIERAVENCLAWIN

Answer:

The value of y is 40.

Step-by-step explanation:

Mathematical Equation:

[tex]\LARGE\text{$y=kx$}[/tex]

For the constant of variation (k):

Given:   [tex]y=20[/tex],   [tex]x=2[/tex]

Find:   [tex]k=?[/tex]

Formula:   [tex]y=kx[/tex]

Solution:

[tex]y=kx\\20=2k\\\frac{20}{2}=\frac{2k}{2}\\\boldsymbol{10=k}[/tex]

For the value of y:

Given:   [tex]k=10[/tex],   [tex]x=4[/tex]

Find:   [tex]y=?[/tex]

Formula:   [tex]y=kx[/tex]

Solution:

[tex]y=(10)(4)\\\boxed{\boldsymbol{y=40}}[/tex]

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