📐 Direct Variation Calculator

Calculate direct variation y = kx

y = kx

How to Use This Calculator

1

Enter Constant k

Type the constant of variation (k). This is the ratio y/x.

2

Enter x

Type the value of x.

3

Calculate

See the result y = kx.

Formula

y = kx

where k is the constant of variation

Example 1: y varies directly with x, k = 2, x = 5

y = kx = 2 × 5 = 10

Example 2: Distance = Speed × Time

If speed (k) = 60 mph, time (x) = 3 hours:

Distance = 60 × 3 = 180 miles

About Direct Variation Calculator

The Direct Variation Calculator solves direct variation problems where y is proportional to x. In direct variation, y = kx, where k is a constant. This means y increases or decreases by the same factor as x changes.

When to Use This Calculator

  • Proportional Relationships: Find y when x changes
  • Real-World Problems: Solve direct variation scenarios
  • Algebra: Practice variation equations

Key Characteristics

  • As x increases, y increases by the same factor
  • Graph is a straight line through origin
  • Ratio y/x is always constant

Frequently Asked Questions

What is direct variation?

Direct variation means y is proportional to x, following the equation y = kx where k is constant.

How do I find k?

k = y/x. Divide any y value by its corresponding x value to find the constant.