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"A proportional equation is basically a bunch of ratios put together or to have the same ratio. For example, on the napkins in the kitchen there are 2 black dots to every 1 red dot. and on the other napkins there are 2 white dots to every 1 grey dot. The symbol would be a : since it is basically ratios." Grace said.
"Okay cool! That makes sense, can you draw it for me?" Eva said. "Sure, what is the next word that comes up on your homework?" Grace said. "Scale factor." Eva stated. "Okay, well a scale factor is two corresponding lengths so, for example, the knifes have a scale factor of 2 in your kitchen because one is two times the length of the other." Natasha said.
"Okay, there are only two words left that I still don't understand. The first one is dilation, isn't that when you shrink or expand a shape?" Eva asks. "Yeah," Nataha said, "dilation is a type of transformation that keeps the same shape as original but different size. An example is the lamb salt shakers are the same size but the pepper one is two times the salts size. You dilated the salt by two, or dilated the pepper by 1/2."
"The last word is matrix. I have no clue what it means." Eva said. "Oh, that one is a rectangular array of numbers. In my house, on the back of the cabinet, we have a matrix of conversions to help with cooking. The symbols it has is [ ] these square brackets." said Grace.
"Oh my gosh! This all makes sense!" "I am glad to help." Grace and Natasha say in unison. "My homework now makes sense, thank you so much guys, you don't know how greatful I am!" "Here, your notes so you don't forget, it has the diagrams on them." Grace said as she hands the notebook to Eva.
"Anytime!" Natasha said. "What are friends for?" Grace said. "Do you guys want to stay for dinner? My mom is making my favorite, spaghetti!"
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