Question

You need to make at least 360 wraps for a party. You can make 9 wraps per minute. How long will it take you to make the number of wraps you need? In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.

Answer 1

Let x be the time needed
then in 1 min we can make 9 wraps
in x min we can make 9x wraps
$9x \geqslant 360 \\ x \geqslant \frac{360}{9} \\ x \geqslant 40 \\ for \: min \: condition \\ x = 40 \: mins$

Answer 2

It will take 40 minutes for me to make the 360 wraps that I need.

9x ≥ 360 ⇒ x ≥ 40

Step-by-step explanation:

I have to make at least 360 wraps for a party.

I can make 9 wraps per minute.

So, it will take $\frac{360}{9} = 40$ minutes for me to make the 360 wraps that I need.

If I work for x minutes to make wraps, then I will be able to make 9x wraps.

So, the inequality that models the given condition is

9x ≥ 360

⇒ x ≥ 40 {Dividing both sides by 9}

Therefore, I need to work at least 40 minutes to reach my goal. (Answer)