Final answer:
To solve the proportion 0.8:10 :: x:100, cross-multiply 0.8 * 100 = 10 * x and then solve for x.
Step-by-step explanation:
To solve the given proportion 0.8:10 :: x:100, we can start by setting up the ratio equal to the unit scale. The ratio 0.8:10 can be written as 0.8/10. We want to find x, so we set up the proportion as 0.8/10 = x/100.
To solve for x, we can cross-multiply and then divide. Cross-multiplying gives us 0.8 * 100 = 10 * x. Simplifying gives us 80 = 10x. Dividing both sides by 10, we find that x = 8.
Therefore, the correct answer is option 2) x = 8.