Question

Find the constant of variation k for the stated condition.

Write answer as a reduced fraction NOT decimal.

A varies directly as the square of r, and A = 2464 when r = 28.

Answer 1

The constant of variation (k) for the given condition is 22/7.

Step-by-step explanation:

To find the constant of variation, we can use the formula for direct variation: A = k * r^2. Plug in the given values: A = 2464 and r = 28. We can then solve for k.

2464 = k * 28^2

2464 = k * 784

Divide both sides of the equation by 784:

k = 2464/784

Reduce the fraction:

k = 22/7

Therefore, the constant of variation is 22/7.