Question

Marisa wants to buy a quality phone for least $200.She has already saved $125 and plans to save an additional $10 each week.Write an inequality that represents this

Answer 1

The inequality can be represented as:

`10w+125\geq200`

where
`w` 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`

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`

If she saves $10 each week.

Then, in
`w` weeks she will save in dollars =
`10w`

She already has savings = $125

So her total savings in
`w` weeks in dollars will be =
`10w+125`

She wants to buy a phone for at least $200.

Thus, the inequality can be represented as:

`10w+125\geq200`

Solving for
`w`

Subtracting both sides by 125.

`10w+125-125\geq 200-125`

`10w\geq 75`

Dividing both sides by 10.

`(10w)/(10)\geq (75)/(10)`

`w\geq 7.5`

Thus Maria needs at least 7.5 weeks to be able to buy a phone for atleast $200.