Question

Using the equation for the constant of proportionality y=kx, determine the unknown value. If k=3/2 and y=15, what is the value of x?

a) 5
b) 7.5
c) 10
d) 12.5

Answer 1

The equation y = kx with k = ¾ and y = 15 is used to find x. After rearranging and solving the equation, the value of x is found to be 10, which matches option c.

Step-by-step explanation:

The student has asked us to determine the unknown value of x in the equation y = kx, where k = ¾ and y = 15. The constant of proportionality, k, represents the rate at which y changes with respect to x. Since we have both k and y, we can rearrange the equation to solve for x.

Starting with the equation y = kx, we substitute in the provided values to get 15 = ¾ × x. To solve for x, we can divide both sides of the equation by ¾:

• × ÷ ¾ = x
• 15 ÷ ¾ = 10

Therefore, the value of x is 10, which corresponds to option c.