Final answer:
The number line from option a correctly shows the sum of 1.5 and 2.5 because it includes the numbers from 0 to 5, starting before 1.5 and showing the endpoint at 4.0 after adding 2.5.
Step-by-step explanation:
To find which number line correctly shows 1.5 + 2.5, you add the two numbers together to get a total of 4.0. Therefore, a correct number line must include the numbers from 1.5 to at least 4. Looking at the options, the correct number line should start before 1.5 and continue past 4 to show the sum.
Option a is the only one that has a complete sequence from 0 to 5 with increments of 0.5. Therefore, the number line from option a correctly shows the sum of 1.5 + 2.5 because it includes both the starting position of 1.5, the movement of 2.5 units to the right, and the endpoint at 4.0.