Question

Glven: y varies directly with x and has a constant rate of change of 7. When the value of y is 12, then the value of x would be?

Answer 1

Since y varies directly with x, we will be using this formula:

$\text{ y = kx}$

Given:

Constant rate of change = k = 7

Let's substitute k to generate the equation. We get,

$\text{ y = 7x}$

Let's now determine the value of x when y = 12.

$\text{ y = 7x }\rightarrow\text{ x = }\frac{y}{7}$$\text{ x = }\frac{12}{7}$

Therefore, at a constant rate of change of 7 and y varies directly with x, a value of y = 12 will have an x value of 12/7.