Answer: x = 2
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Work Shown:
2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5
The scale factor is 2.5
This means we multiply the scale factor by the preimage length x, to get the corresponding image length 5
In other words,
(preimage length)*(scale factor) = image length
x*2.5 = 5
2.5x = 5
x = 5/2.5 .... divide both sides by 2.5
x = 2
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We can see this also by dividing the image length over the preimage length
scale factor = (image length)/(preimage length)
scale factor = 5/2
scale factor = 2 & 1/2
scale factor = 2.5