Question

17. Your goal is to save at least $360.00 over the next 6 weeks. How much money must you save each week in order to meet that goal? write and solve the inequality

A. 6+x>_360; x>_354
B. 60x>_360; >_10
C. x/6>_360; >_2160
D. 6x>_360; x>_60

Answer 1

D. 6x>_360; x>_60

Step-by-step explanation

Let
`x` be amount you will save each weeks

Since we know that you are saving over a period of 6 weeks, you will save
`6x`.

We also now that your goal is to save at least $360.00 over the period of 6 weeks, so saving more than $360.00 will be very desirable, but the goal is to save $360.00. We can rephrase this as: You need to save $360.00 or more; we can say the same using the inequality symbol
`\geq` (greater on equal than)

Now we can combine our tow parts using the inequality symbol:

`6x\geq 360`

To simplify divide both sides by 6:

`(6)/(6) x\geq (360)/(6)`

`x\geq 60`

You need to save at least $60 per week, so the correct answer is D. 6x>_360; x>_60