Question

Find the constant of variation k

.

y
varies directly as x
. When x
is 16
, y
is 20
.

Answer 1

The constant of variation k can be found using the formula:

k = y/x

Using the given values, we have:

k = 20/16

k = 1.25

Therefore, the constant of variation is k = 1.25.

Step-by-step solution:
1. Write down the formula for direct variation: y = kx.
2. Substitute the given values into the formula: 20 = k(16).
3. Solve for k by dividing both sides by 16: k = 20/16.
4. Simplify the fraction: k = 1.25.
5. Therefore, the constant of variation is k = 1.25.