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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?

2 Answers

2 votes

Answer:

25w + 200 ≥ 535

Explanation:

The Think Through Math Answer

You need at least $535 to go on a trip to California. You have already save $200. You-example-1
User Marck
by
6.6k points
4 votes

Answer:


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.

User Mohammad Hossein
by
7.2k points