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Mathematics 8 Online
OpenStudy (miss.rose):

I need some help can someone please help me? I will fan and medal.

OpenStudy (miss.rose):

@Ms-Brains

OpenStudy (miss.rose):

Here is the main question I need help with:

OpenStudy (miss.rose):

@mathmale

OpenStudy (youngstudier):

@campbell_st

OpenStudy (mathmale):

Hello, Miss.Rose, The original scale is "1 inch corresponds to 12 yards." If you adopt the new scale, which is "1 inch corresponds to 36 yards," would your scale model be larger or smaller than the given one?

OpenStudy (miss.rose):

larger.

OpenStudy (mathmale):

Please explain your decision. Remember: the playing field doesn't change at all in size, but models of various sizes can be constructed.

OpenStudy (miss.rose):

Well, 36 is larger than 12 so it is obviously going to be bigger than the first field.

OpenStudy (mathmale):

Here's the scoop. In the given model, 1 inch corresponds to 12 feet of the actual field. The given model is 9 inches long. How long is the field?

OpenStudy (mathmale):

Again, remember that 1 inch in the model corresponds to 12 feet in the actual field.

OpenStudy (miss.rose):

9*3= 27 Would it be 27? I got the 3 because 36/12 = 3, so I though 12*3=36

OpenStudy (mathmale):

Let's concentrate solely on the given model, in which 1 inch corresponds to 12 feet in the actual field. If the length of the given model is 9 inches, how long is the field? Ignore the "36 feet" for now, please.

OpenStudy (mathmale):

1 inch corresponds to 12 feet, 2 inches corresp. to 24 feet, and so onl 9 inches correspond to how many feet?

OpenStudy (miss.rose):

9*12=108

OpenStudy (mathmale):

yes. the actual field is 108 feet long Now we'll focus on the (different) scale "1 inch corresponds to 36 feet." Divide 108 feet by 36 feet. Of what use is the result?

OpenStudy (miss.rose):

It equals 3

OpenStudy (mathmale):

yes. 3 what? who cares? what's the purpose of dividing 108 feet by 36 feet?

OpenStudy (miss.rose):

3 feet. I don't know what the purpose was for dividing 108 feet by 36 feet.

OpenStudy (mathmale):

At first we used the scale "1 inch corresponds to 12 feet." Now we've changed the story and are using the scale "1 inch corresponds to 36 feet." If that is true, then 2 inches of model correspond to 2(36 feet) of the actual length of the court. \[1"\rightarrow 36'\] \[2"\rightarrow ? feet\]

OpenStudy (mathmale):

\[3"\rightarrow ? feet\]

OpenStudy (mathmale):

Replace each question mark with the appropriate number.

OpenStudy (miss.rose):

Wait... I don't get it.

OpenStudy (mathmale):

Review our whole conversation. We've gone through this before, with the original scale, which was "1 inch corresponds to 12 feet in real life." Now the scale is different: It's "1 inch coresponds to 36 feet." Then, 2 inches corresp. to how many feet? Then, 3 inches corresp. to how many feet?

OpenStudy (miss.rose):

2inches= 72feet 3inches= 108

OpenStudy (mathmale):

Yes. How long is the actual field?

OpenStudy (miss.rose):

What do you mean?

OpenStudy (mathmale):

I've cut and pasted this from earlier in our dialogue: "mathmale Medals 0 yes. the actual field is 108 feet long Now we'll focus on the (different) scale "1 inch corresponds to 36 feet." Divide 108 feet by 36 feet. Of what use is the result?"

OpenStudy (mathmale):

How long is the actual field?

OpenStudy (miss.rose):

3inches

OpenStudy (mathmale):

No, it's 108 feet. BUT, if we use the scale "1 inch corresponds to 36 feet," then the MODEL (not the actual field) is how long?

OpenStudy (miss.rose):

3 inches, right?

OpenStudy (mathmale):

\[108'\rightarrow (?) inches\]

OpenStudy (mathmale):

Yes, it's 3 inches.

OpenStudy (mathmale):

How wide will your model now be, if the length is 3 inches? You must use "1 inch corresponds to 36 feet" in answering this.

OpenStudy (miss.rose):

I don't know. I still need a little bit of help.

OpenStudy (mathmale):

Please go back and look at the given picture of the model. How long is it? How wide is it?

OpenStudy (miss.rose):

It is 9 inches and 6 inches wide.

OpenStudy (mathmale):

Right. If we change the scale so that it's now "1 inch corresponds to 36 feet," What will be the new width of the end of the model? currently it's 6 inches. Using this different scale means that the model will be smaller (not larger). the new model width will be ... ??

OpenStudy (miss.rose):

3 inches by 2 inches?

OpenStudy (mathmale):

Yes. very good. any questions? Understanding this type of problem takes time and practice.

OpenStudy (miss.rose):

Thank you very much. I do not have any more questions, if I do have some in the future I will tag you if you are logged on. Have a great rest of your day! Bye! ~Miss.Rose

OpenStudy (mathmale):

Great. Good luck! Bye!

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