2024 AMC 8 Problem 8

On Monday Taye has \$2. Every day, he either gains \$3 or doubles the amount of money he had on the previous day. How many different dollar amounts could Taye have on Thursday, 3 days later?

\textbf{(A)} 3 \qquad \textbf{(B)} 4 \qquad \textbf{(C)} 5 \qquad \textbf{(D)} 6 \qquad \textbf{(E)} 7

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.