To estimate the number of fraudulent credit card charges using the model \( y = 1 + 0.02x \), where \( x \) is the total number of charges, we can substitute \( x = 200 \) into the equation.
\[ y = 1 + 0.02(200) \] \[ y = 1 + 4 \] \[ y = 5 \]
Therefore, the model estimates that there would be 5 fraudulent charges out of 200 charges.