Question

select the correct answer.
the variable y varies directly as x. when x = 20, y = 12. what is the value of y when x = 15?
a. 7
b. 9
c. 18
d. 25

Explanation:

Step1: Define direct variation

$y = kx$, where $k$ is the constant of variation.

Step2: Solve for $k$

Substitute $x=20, y=12$:
$12 = k \times 20$
$k = \frac{12}{20} = \frac{3}{5}$

Step3: Find $y$ when $x=15$

Use $y = \frac{3}{5}x$:
$y = \frac{3}{5} \times 15$

Answer:

B. 9