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Given:
y=36 when
x=8. If
y varies directly as
x, find
y when
x=12.
A) 54
B) 24
Save

$1$ ) $\newline$ Given: $y=36$ when $x=8$ . If $y$ varies directly as $x$ , find $y$ when $x=12$ . $\newline$ A) $54$ $\newline$ B) $24$ $\newline$ Save

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Write and solve direct variation equations

Full solution

Q.

1

)

\newline

Given:

y=36

when

x=8

. If

y

varies directly as

x

, find

y

when

x=12

.

\newline

A)

54

\newline

B)

24

\newline

Save

Identify Direct Variation Equation: Direct variation equation is $y = kx$ , need to find $k$ .
Given Values: Given $y=36$ when $x=8$ , so $36=k\times 8$ .
Calculate $k$ : Solve for $k$ , $k=\frac{36}{8}$ .
Substitute Values: $k=4.5$ .
Final Result: Now we have $y=4.5x$ , find $y$ when $x=12$ .
Final Result: Now we have $y=4.5x$ , find $y$ when $x=12$ . Substitute $x=12$ into $y=4.5x$ , $y=4.5\times 12$ .
Final Result: Now we have $y=4.5x$ , find $y$ when $x=12$ . Substitute $x=12$ into $y=4.5x$ , $y=4.5\times12$ . $y=54$ .

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