Question

You need at least $535 to go on a trip to California. You have already save $200. You decide to save an additional $25 per week. Which inequality shows the number of weeks, w, you need to save to be able to go on the trip?

Answer 1

25w + 200 ≥ 535

Explanation:

The Think Through Math Answer

Answer 2

`25w+200\geq 535`

Explanation:

Let's call
`w` 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
`\geq`.

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

`25w+200\geq 535`

We can solve for
`w` to find the minimum number of weeks you need to save

`25w+200\geq 535\\25w \geq 535-200\\w\geq (335)/(25)\\ w\geq 13.4`

So, you need to save for at least 14 weeks.