Question

If y varies directly with x and y = 26 when x = 8, write the equation that represents this direct variation relationship."

a) y = 4x + 13
b) y = 13/4x
c) y = 4/13x
d) y = 13x + 14

Answer 1

The equation that represents this direct variation relationship is y = (13/4)x.

Step-by-step explanation:

In a direct variation relationship, the equation takes the form y = kx, where k is the constant of variation. Since y varies directly with x, we can write the equation as y = kx. To find the value of k, we can substitute the given values of y and x into the equation and solve for k.

Given that y = 26 when x = 8, we can substitute these values into the equation: 26 = k * 8. Solving for k, divide both sides of the equation by 8: k = 26/8 = 13/4.

Therefore, the equation that represents this direct variation relationship is y = (13/4)x.