Question

30 POINTS!!!!!!!!!!!!!!! PLEASE HELP!!!!!!!

Armand is responsible for choosing the company that his community group will use to produce bumper stickers. He must choose between Bump It Up and You Name It. Both companies charge an initial set-up fee and then charge per 100 bumper stickers produced.

The graph shows the cost of hiring Bump It Up and You Name It to produce the bumper stickers.

Which statements are true about Bump It Up and You Name It?

Select each correct answer.


You Name It charges $0.80 per bumper sticker.

Bump It Up charges more per bumper sticker than You Name It charges.

The two companies will cost the same if 400 bumper stickers are purchased.

Armand should choose Bump It Up if more than 500 bumper stickers are ordered.

The initial fee charged by Bump It Up is $200.

The initial fee charged by You Name It is greater than the initial fee charged by Bump It Up.

Answer 1

I believe the answers are Armand should choose Bump it Up if more than 500 bumper stickers are ordered, and The initial fee charged by You Name It is greater than the initial fee charged by Bump It Up.

Answer 2

Bump It Up charges more per bumper sticker than You Name It charges.

The initial fee charged by You Name It is greater than the initial fee charged by Bump It Up.

Explanation:

The second and last statements are true about the function shown in the image.

The money charged per sticker refers to the ratio between both variables. So, the ratio for You Name It is:

`m_(you) =(500-200)/(5-0)=60`

The ratio for Bump It Up is:

`m_(bump) =(500-100)/(5-0)=80`

As you can see Bump It Up has a higher ratio, that is, it charges 20 bucks more per sticker than You Name It.

The benefit of picking Bump It Up is actually if Armand needs less than 500 stickers, because after 500 it's better to use You Name It.

On the other hand, the graph shows that the initial point of You Name It is 200, and the initial point of Bump It Up is 100. So, the initial fee charges by You Name It is higher than the initial fee charges by Bump It Up.

Therefore, the right answers are the second and the last statements.