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

Answer:

200+25w

Step-by-step explanation:

200=starting amount

25=every week gaining

w=weeks

Answer= 14.5 weeks

Hope it helps!

Answer 2

Answer:

$25w+200\geq 535$

Step-by-step 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

$25w+200\geq 535\\25w \geq 535-200\\w\geq \frac{335}{25}\\ w\geq 13.4$

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