Question

In the equation y=4.5x, what is the constant of variation?

A) 4.5
B) 45
C) 0.45
D) 0.045

Answer 1

The constant of variation in the equation y=4.5x is 4.5.

Step-by-step explanation:

In the equation y=4.5x, the constant of variation is A) 4.5.

The constant of variation represents the relationship between the two variables in a direct variation equation. In this equation, the constant of variation is the coefficient of x, which is 4.5. It indicates that for every unit increase in x, y increases by 4.5 units.

For example, if x = 2, then y = 4.5 * 2 = 9. If x = -3, then y = 4.5 * (-3) = -13.5. The constant of variation remains the same throughout the equation.