Answer:
[tex]25w+200\geq 535[/tex]
Step-by-step explanation:
Let's call [tex]w[/tex] the number of weeks.
Notice that the problem says "at least $535" this means the minimum is $535 or more, so we have to use the symbol [tex]\geq[/tex].
Also, you are gonna save $25 per week, which means this is the ratio of change, the coefficient of the variable.
Additionally, you already have $200, so that's the constant of the expression.
Therefore, the expression that models this situation is
[tex]25w+200\geq 535[/tex]
We can solve for [tex]w[/tex] to find the minimum number of weeks you need to save
[tex]25w+200\geq 535\\25w \geq 535-200\\w\geq \frac{335}{25}\\ w\geq 13.4[/tex]
So, you need to save for at least 14 weeks.
