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computergeek123
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Agh! Somebody PLEASE help!!!!
Joshua is creating a series of rectangles, one inside the other. The length of the first rectangle, Rectangle A, is five inches. Joshua dilates Rectangle A about its center by a scale factor of two to get Rectangle B. He repeats this process using the same scale factor till he gets a rectangle of length 80 inches.
How many dilations did Joshua perform including the dilation of Rectangle A?
 one year ago
 one year ago
computergeek123 Group Title
Agh! Somebody PLEASE help!!!! Joshua is creating a series of rectangles, one inside the other. The length of the first rectangle, Rectangle A, is five inches. Joshua dilates Rectangle A about its center by a scale factor of two to get Rectangle B. He repeats this process using the same scale factor till he gets a rectangle of length 80 inches. How many dilations did Joshua perform including the dilation of Rectangle A?
 one year ago
 one year ago

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eseidl Group TitleBest ResponseYou've already chosen the best response.1
Well, first off, what will be the length of rectangle B?
 one year ago

computergeek123 Group TitleBest ResponseYou've already chosen the best response.0
10?
 one year ago

eseidl Group TitleBest ResponseYou've already chosen the best response.1
Yeah, should be (unless I'm missing something)dw:1343835098119:dw
 one year ago

eseidl Group TitleBest ResponseYou've already chosen the best response.1
So, \[l_{0}=5\]\[l_{1}=5*2\]Now we dilate this again,\[l_{2}=(5*2)*2=5*2^2\]seeing a pattern,\[l_{n}=5*2^n\]
 one year ago

eseidl Group TitleBest ResponseYou've already chosen the best response.1
But, we want to know how many dilations, n, gives us a length of 80. \[5*2^n=80\]Can you take it from here?
 one year ago

computergeek123 Group TitleBest ResponseYou've already chosen the best response.0
What do I do next?
 one year ago

eseidl Group TitleBest ResponseYou've already chosen the best response.1
solve for n
 one year ago

computergeek123 Group TitleBest ResponseYou've already chosen the best response.0
like how?
 one year ago

eseidl Group TitleBest ResponseYou've already chosen the best response.1
First divide both sides by 5. You get:\[2^n=16\]What is n?
 one year ago

eseidl Group TitleBest ResponseYou've already chosen the best response.1
Do you understand exponents? If n=1 \[2^1=2\]If n=2\[2^2=2*2=4\]etc...
 one year ago

computergeek123 Group TitleBest ResponseYou've already chosen the best response.0
Thanks
 one year ago
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