Final answer:
The equation to represent the amount of money in the account after x months is A = 100 * 2^x. After 5 months, you will have $3200 in your account.
Step-by-step explanation:
To represent the amount of money in your account after x months, you can use an equation with exponential growth. Since the amount in your account doubles every month, you can use the equation A = 100 * 2^x, where A represents the amount of money in your account and x represents the number of months elapsed.
For example, if you want to find out how much money you will have after 5 months, you can substitute x with 5 in the equation:
A = 100 * 2^5
A = 100 * 32
A = 3200
Therefore, after 5 months, you will have $3200 in your account.
Learn more about Exponential growth