Answer:
Option (2) 1.5
Step-by-step explanation:
Rule for the dilation of an image by a scale factor is,
Scale factor =
=
=
=
= 1.5
Therefore, scale factor was used to create a circle A' = 1.5
Option (2) will be the correct option.
Let's use a trial and improvement method to find this solution.
Step 1. Let's choose x = 8.5
Substituting into the equation:
Step 2. Let's choose x = 8.4
Substituting into the equation:
Step 3. Let's choose x = 8.3
Substituting into the equation:
Since the sign of the equation changes from positive to negative when evaluating from 8.4 to 8.3, then x = 8.3 seems to be a reasonable value. Finally, the solution to 1 decimal place is: