1. Find the constant of variation for the relationship \( f(x) = 30x \).

A. 10
B. 30
C. x
D. \( f(x) \)

2. Find the constant of variation for the relationship shown in the following table:

| x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| y | 4 | 8 | 12| 16|

A. 1
B. 2
C. 3
D. 4

3. If \( f(x) \) varies directly with \( x \), and \( f(x) = 8 \) when \( x = 6 \), write the direct linear variation equation.

A. \( f(x) = x \)
B. \( f(x) = 6x \)
C. \( f(x) = 8x \)
D. \( f(x) = x \)

4. If \( f(x) \) varies directly with \( x \), and \( f(x) = 56 \) when \( x = 8 \), find the value of \( f(x) \) when \( x = 2 \).

A. 4
B. 7
C. 8
D. 14

5. Which does not show a direct variation between \( x \) and \( y \)?

A. \( y = \)
B. \( y = 2x \)
C. \( y = 0.5x \)
D. \( y = \)

( 1 ) f ( x ) = 30 x ⇔ x f ( x ) ​ = 30 ⇒ co n s t an t = 30 ⇒ A n s . B . ( 2 ) co n s a t n t = x y ​ = 1 4 ​ = 4 ⇒ A n s . D . ( 3 ) f ( x ) = m ⋅ x an d f ( 6 ) = 8 m ⋅ 6 = 8 ⇒ m = 6 8 ​ = 3 4 ​ ⇒ y = 3 4 ​ x A n s . ( ?)
( 4 ) f ( x ) = m ⋅ x an d f ( 8 ) = 56 m ⋅ 8 = 56 ⇔ m = 8 56 ​ = 7 ⇒ f ( x ) = 7 x ⇒ f ( 2 ) = 7 ⋅ 2 = 14 A n s . D . ( 5 ) d i rec t : y = m ⋅ x an d m ∈ R e . g . : y = 2 x , y = 0.5 x , y = 7 x ​ = 7 1 ​ x , ... NOT d i rec t : e . g . : y = x ​ , y = x 1 ​ , y = x 2 , ...

Answered by kate200468 | 2024-06-10

the answer is D i have this test and its the right answer for 2 reasons
1,its the only thing that looks like english
2,its always the right answer in anime logic

Answered by staceyloper78 | 2024-06-13

The constants of variation found are: 1. 30, 2. 4, 3. none listed (correct equation is f ( x ) = 3 4 ​ x ), 4. 14, and 5. options A and D do not show direct variation. However, question 3 lacks a correct answer among the choices provided.
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Answered by kate200468 | 2024-11-11