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

Answer

D. 6x>_360; x>_60

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:

$\frac{6}{6} x\geq \frac{360}{6}$

$x\geq 60$

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