Question

Y varies directly with x² and y = 72 when x = 3.

a. y=1/8x²
b. y=1/24x²
c. y = 24x²
d. y = 8x²

Answer 1

To find the equation that represents the direct variation between y and x², we can use the given values to solve for the constant of variation. The correct equation is y = 8x².

Step-by-step explanation:

To solve this problem, we need to find the equation that represents the direct variation between y and x². We are given that y = 72 when x = 3.

Since y varies directly with x², we can write the equation as y = kx², where k is the constant of variation.

Plugging in the given values, we have 72 = k(3²). Solving for k, we get k = 72/9 = 8.

Therefore, the equation that represents the direct variation between y and x² is y = 8x². So the correct answer is d.