To use the statistical model \( y = 1 + 0.02x \) to estimate the number of fraudulent credit card charges, we need to substitute \( x \) with the total number of charges, which is 200 in this case.
Substituting \( x = 200 \) into the equation provides:
\[ y = 1 + 0.02(200) \]
Calculating the multiplication first:
\[ 0.02 \times 200 = 4 \]
Now, add 1:
\[ y = 1 + 4 = 5 \]
Therefore, using the model, the estimate for the number of fraudulent credit card charges out of 200 charges is 5.