Question

The value of y varies directly with x. If x = 4, then y= 10. What is the value of x when

Answer 1

The value of x when y = 25 is 10.

Thus, the correct answer to the question is Option A. 10

From the question given above, we were told that y varies directly as x. This can be written as:

y ∝ x

Removing the proportionality sign, we have

y = Kx.

Next, we shall determine the constant K. This can be obtained as follow:

x = 4

y = 10

Constant (K) =?

y = Kx.

10 = K × 4

Divide both side by 4

$K = \frac{10}{4} \\\\K = \frac{5}{2}$

Finally, we shall determine x when y is 25.

$K = \frac{5}{2}$

y = 25

x =?

y = Kx

$25 = \frac{5}{2}x$

Cross multiply

5x = 25 × 2

5x = 50

Divide both side by 5

$x = \frac{50}{5}$

x = 10

The value of x when y = 25 is 10.

Therefore, the correct answer to the question is Option A. 10

Learn more: brainly.com/question/16892904