Final answer:
The equation that can be represented using the number line is Option D: 6 ÷ 1/8 = 3/4.
Step-by-step explanation:
The equation that can be represented using the number line is Option D: 6 ÷ 1/8 = 3/4.
To solve this equation, we can think of division as multiplication by the reciprocal. Reciprocal of 1/8 is 8/1. So, we can rewrite the equation as 6 × 8/1 = 3/4.
Multiplying 6 by 8 gives us 48. So the equation becomes 48/1 = 3/4.
Now, to solve for the unknown variable, we can set up a proportion. We can write it as 48/1 = x/4.
Cross multiplying, we get 48 × 4 = 1 × x.
Simplifying, we have 192 = x.
Therefore, the equation that can be represented using the number line is 6 ÷ 1/8 = 3/4.