Asked • 03/12/20

Algebra homework help

You have designed a picture that is shaped as a square. The dimensions of your picture are 6 inches by 6 inches. You want to make it into a poster with dimensions of 13 inches by 13 inches. The duplication machine has three settings: one setting that reduces the linear measure by a factor of 75%; one that enlarges the linear measure by a factor of 140%; and one that just makes identical copies or applies the factor of 100%. How many enlargements/reductions will you need to make in order to create a poster that has sides 13 inches long(accurate within five-hundredths)? Can you explain what setting was used and how that changed the measurements of the copy for each step in the progress? (Algebraically )

Brenda D.

tutor
You need a combination of enlargements/reductions that are equal to or just less than 13/6= 2.17. (1.4*.75*1.4*1.4*.75*1.4)=2.1609*6=12.97 You will need to do the sequence to see the measurement at each step. The measures will be different depending on how you apply the (.75)^2 *(1.4)^4 to your picture. However 2 reductions followed by 4 enlargements would produce sizes easy to handle at each stage. Give it a try.
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03/13/20

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