Let's assume the amount of money Missy put in the bank during the first year is X dollars.
During the second year, the amount she put in the bank is 2X dollars.
During the third year, the amount she put in the bank is 2 * 2X = 4X dollars.
During the fourth year, the amount she put in the bank is 2 * 4X = 8X dollars.
So, the total amount of money in the piggy bank after 4 years is X + 2X + 4X + 8X = 15X dollars.
Given that the total amount of money in the piggy bank after 4 years is $450, we can set up the equation 15X = 450.
Solving for X, we find that X = 30.
Therefore, Missy put $30 in the bank during the first year.
#### 30
The answer is: 30
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If Missy had a giant piggy bank in her bedroom and after 4 years, it contained $450 in change, with the amount she put in the bank doubling each year starting from the second year, how much money did she put in the bank during the first year?

### Answer:
