Eli collects old vinyl records. He buys 2 vinyl records each month. He started with 18 vinyl records. *make an equation to model the number of records Eli has after x months. // how many records will Eli have after 22 months?
18 + 2x
18 + (2 * 22) = ?
To make an equation to model the number of records Eli has after x months, we need to consider that he buys 2 vinyl records each month and started with 18 vinyl records.
Let's assume R represents the number of vinyl records Eli has after x months.
In the first month, he buys 2 records, so the total number of records is 18 + 2 = 20.
In the second month, he buys another 2 records, so the total number of records becomes 20 + 2 = 22.
In the third month, he will have 22 records, and so on.
We can see that after each month, the number of records increases by 2. Therefore, the equation to model the number of records Eli has after x months is:
R = 18 + 2x
Now, to find how many records Eli will have after 22 months, we substitute x = 22 in the equation:
R = 18 + 2(22)
R = 18 + 44
R = 62
After 22 months, Eli will have 62 vinyl records.