Exercise 37

The following table shows the relationship between the variables \(x\) and \(y\).

\(\boldsymbol{x}\) 1 2 3
\(\boldsymbol{y}\) 1 3 5

This relationship can be defined as:

  1. \( y = 2x \)

  2. \( x = y - 1 \)

  3. \( y = 2x - 1 \)

  4. \( y = x^2 - 1 \)

  5. \( x = y + 1 \)

Try to solve it before checking the answer.
  1. \( y = 2x – 1 \)

For \( x = 1 \),   we have:

\[ y = 2 (1) – 1 = \boldsymbol{1} \]

For \( x = 2 \),  we have:

\[ y = 2(2) – 1 = \boldsymbol{3} \]

For \( x = 3 \),  we have:

\[ y = 2(3) – 1 = \boldsymbol{5} \]