Question

4. Problem 15: For the function, y varies directly with x. Find the constant of
variation. Then find the value of y when x = -0.3.
y = 4 when x = -3

1. The constant of variation is -4/3 and the value of y when x = -0.3 is 0.4

### How to determine the value of y when x = 4?

The given parameters are:
y is directly proportional to  x.
This is represented as:
y = kx
Where k represents the constant of variation
When x = -3, y = 4.
This gives
4 = k * -3
Divide both sides by -3
k = -4/3
This means that the constant of variation is -4/3
Substitute k = -4/3 in y = kx
y = -4/3x
When x = -0.3, we have
y = -4/3 * -0.3
Evaluate
y = 0.4
Hence, the value of y when x = -0.3 is 0.4
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