To use the statistical model \( y = 1 + 0.02x \) to estimate how many credit card charges are fraudulent from a total of 200 charges, we need to substitute \( x \) with 200.
\[ y = 1 + 0.02(200) \]
Calculating the expression:
\[ y = 1 + 0.02 \times 200 \] \[ y = 1 + 4 \] \[ y = 5 \]
Thus, the estimated number of fraudulent credit card charges out of 200 charges is 5.