Question

review for final examination
score: 47/50 answered: 47/50
question 48

y varies directly as x. if x = 7 then y = 49. find y when x = 2.

y =
question help: video

Explanation:

Step1: Recall direct variation formula

For direct variation, \( y = kx \), where \( k \) is the constant of variation.

Step2: Find the constant \( k \)

Given \( x = 7 \) and \( y = 49 \), substitute into \( y = kx \):
\( 49 = k \times 7 \).
Solve for \( k \): \( k=\frac{49}{7}=7 \).

Step3: Find \( y \) when \( x = 2 \)

Now use \( y = kx \) with \( k = 7 \) and \( x = 2 \):
\( y = 7\times2 = 14 \).

Answer:

\( 14 \)