To determine how many action figures Ryan will have after 3 months, let's start by breaking the problem down step-by-step:
1. Initial Collection: Ryan starts with [tex]\( y \)[/tex] action figures.
2. Monthly Addition: He adds 2 action figures to his collection each month.
3. Duration: We need to find out how many action figures he will have after 3 months.
To find the total number of action figures after 3 months, we follow these steps:
1. Calculate the number of action figures added over the 3 months.
- Each month, Ryan adds 2 action figures. Therefore, over 3 months, the total number added is:
[tex]\[
2 \text{ action figures/month} \times 3 \text{ months} = 6 \text{ action figures}
\][/tex]
2. Sum the initial number of action figures with the total added over 3 months.
- Ryan started with [tex]\( y \)[/tex] action figures and added 6 action figures in 3 months:
[tex]\[
\text{Total action figures} = y + 6
\][/tex]
In summary, after 3 months, Ryan will have [tex]\( y + 6 \)[/tex] action figures in his collection.
