Question

Question 4(1 point) If the original is 12 units and the scale factor is 25% what is the size of the scale drawing?

Answer 1

a)3

Step-by-step explanation

The scale factor is the number that determines whether the new drawing is an enlargement or a

reduction of the original. If the scale factor is greater than 100%, then the resulting drawing is an

enlargement of the original drawing. If the scale factor is less than 100%, then the resulting drawing is

a reduction of the original drawing

a scale factor of 25 % means the new deawing will be 25 % of the original

then

Step 1

a)let x represents the escale factor

so

if

`12\rightarrow100\text{ \%}`

then

`x\rightarrow25\text{ \%}`

b) make the proportion

`(12)/(100)=(x)/(25)`

c) finally, solve for x

`\begin{gathered} (12)/(100)=(x)/(25) \\ \text{cross multiply} \\ 12\cdot25=100\cdot x \\ 300=100x \\ \text{divide both sides by 100} \\ (300)/(100)=(100x)/(100) \\ 3=x \end{gathered}`

so, the answer is 3

I hope this helps you