Answer:
The inequality can be represented as:
![10w+125\geq200](https://tex.z-dn.net/?f=10w%2B125%5Cgeq200)
where
represents the number of weeks in which Maria will be able to buy a phone for least $200.
On solving it we get : ![w\geq 7.5](https://tex.z-dn.net/?f=w%5Cgeq%207.5)
Step-by-step explanation:
Given:
Maria wants to buy a phone for at least $200.
She has savings of $125.
She plans to save $10 every week.
To write an inequality for the situation.
Solution:
Let the number of weeks in which Maria will be able to buy a phone be = ![w](https://tex.z-dn.net/?f=w)
If she saves $10 each week.
Then, in
weeks she will save in dollars = ![10w](https://tex.z-dn.net/?f=10w)
She already has savings = $125
So her total savings in
weeks in dollars will be = ![10w+125](https://tex.z-dn.net/?f=10w%2B125)
She wants to buy a phone for at least $200.
Thus, the inequality can be represented as:
![10w+125\geq200](https://tex.z-dn.net/?f=10w%2B125%5Cgeq200)
Solving for ![w](https://tex.z-dn.net/?f=w)
Subtracting both sides by 125.
![10w+125-125\geq 200-125](https://tex.z-dn.net/?f=10w%2B125-125%5Cgeq%20200-125)
![10w\geq 75](https://tex.z-dn.net/?f=10w%5Cgeq%2075)
Dividing both sides by 10.
![\frac{10w}{10}\geq \frac{75}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B10w%7D%7B10%7D%5Cgeq%20%5Cfrac%7B75%7D%7B10%7D)
![w\geq 7.5](https://tex.z-dn.net/?f=w%5Cgeq%207.5)
Thus Maria needs at least 7.5 weeks to be able to buy a phone for atleast $200.