Question

an actor is 6ft tall. on a billboard the actors height in the picture is 16.8. what is the scale factor

Answer 1

Scale Factor (small to large) is 2.8

Explanation:

The scale factor is "how many times" it is larger.

If we have an actual quantity be "a" and the enlarged quantity be "b" and we let the scale factor be "k", we can write the equation shown below:

`ka=b`

So, we basically mean "what number" (scale factor) should be multiply with the actual value (smaller one) to get the enlarged value (bigger one). From the problem, we can write:

\
`k(6)=16.8`

Now we find "k", the scale factor:

`k(6)=16.8\\k=(16.8)/(6)\\k=2.8`

Hence, the scale factor is 2.8