What is the scale factor of the dilation shown?
1 answer:
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Answer:
a) To increase 160 by 4% we multiply by 1.04
b) To decrease 160 by 6% we multiply by 0.94
Step-by-step explanation:
a) Here we have to increase 160 by 4% we are to note that;
Therefore, increasing 160 by 4% is to add additional 0.04×160 to 160
That is 160 + 0.04×160 = 160×(1 + 0.04) = 160×1.04
Therefore Sue should have multiplied 160 by 1.04 to increase 160 by 4%.
b) Here to decrease 160 by 6%, we subtract 6% of 160 from 160 that is;
Decrease 160 by 6% = 160 - 160×0.06 = 160×(1 - 0.06) = 160 × 0.94 = 150.4
Hence to decrease 160 by 6% we multiply by 0.94.