Question

If y varies directly as x, and y= 2 when x = 3, find y when x = 1.

a. y = 2x; y(1)=2
C.
b.
3
A
B
C
D
(1)
2
d.
4
3; P(1) - 4
3
-
2
y = x; y(1) -
3
Please select the best answer from the choices provided
2/
3

Answer 1

Explanation:

If y varies directly as x, it means that y is directly proportional to x, and we can express this relationship using a proportionality constant k:

y = kx

To find the value of k, we can use the given information that y = 2 when x = 3:

2 = k(3)

Solving for k, we get:

k = 2/3

Now that we know the value of k, we can use the formula to find y when x = 1:

y = (2/3)x

y = (2/3)(1)

y = 2/3

Therefore, when x = 1, y = 2/3.