Let,
m = the number of months
From the given scenario, the following equation is generated:
[tex]\text{ y = 33}8\text{ + 22m}[/tex]
Where,
y = is the total money you saved
Let's determine how many months until you have saved $492.
[tex]\text{ 492 = 338 + 22m}[/tex][tex]\text{ 338 + 22m = 492}[/tex][tex]\text{m = }\frac{\text{492 - 338}}{22}[/tex][tex]\text{ m = }\frac{154}{22}[/tex][tex]\text{ m = 7}[/tex]
Therefore, you'll be saving $492 in 7 months.
The answer is 7.
