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Ryan collects action figures and adds two to his collection every month. If he starts with [tex]y[/tex] action figures, then in terms of [tex]y[/tex], how many will he have in 3 months?

Sagot :

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.