Determine the equation that represents the relationship outlined in the table using function notation.

Question

input output
2 20
3 30
4 40
5 50
The equation is (y, x, f(x), or f(y) = (10x, 10y, y/10, or x/10)

Answer 1

The relationship outlined in the table shows that for each input \( x \), the output \( y \) can be expressed as:

• When \( x = 2 \), \( y = 20 \)
• When \( x = 3 \), \( y = 30 \)
• When \( x = 4 \), \( y = 40 \)
• When \( x = 5 \), \( y = 50 \)

From this, we can see that the output \( y \) is always 10 times the input \( x \). Therefore, we can express this relationship using function notation as:

\[ f(x) = 10x \]

So the equation representing the relationship is:

\[ f(x) = 10x \]