Answer:
The balance can vary between $400 and $560
Step-by-step explanation:
The actual balance of Jason's checking account is $480.
Any funds coming in or out of the account is represented by the variable x.
The possible balances in the account can be represented by:
480+x
where x is positive if funds are coming in, or negative if funds are going out.
This variation cannot be more than $80. The inequality representing the situation is:
| x | ≤ 80
Recall if |A| ≤ B, then
-B ≤ A ≤ B
Applying to the inequality:
-80 ≤ x ≤ 80
Adding 480:
480-80 ≤ 480 + x ≤ 480 + 80
400 ≤ 480 + x ≤ 560
The balance can vary between $400 and $560
