Final answer:
The equation D = 120 - 45h represents the distance remaining, in miles, that Mariah has left to travel to get to her parent's house. None of the given options represent the correct distance that Mariah has traveled so far.
Step-by-step explanation:
The equation D = 120 - 45h represents the distance remaining, in miles, that Mariah has left to travel to get to her parent's house for Thanksgiving, who live 120 miles away. To find out how far Mariah has traveled so far, we need to substitute the given values into the equation.
Let's start with option C, where Mariah has traveled 100 miles so far. We can substitute h = 100 into the equation:
D = 120 - 45(100) = 120 - 4500 = -4380.
Since we end up with a negative distance, it means that option C is not correct.
Now let's try option B, where Mariah has traveled 95 miles so far:
D = 120 - 45(95) = 120 - 4275 = -4155.
Similarly, we end up with a negative distance, indicating that option B is also not correct.
Next, let's consider option A, where Mariah has traveled 75 miles so far:
D = 120 - 45(75) = 120 - 3375 = -3255.
Once again, we obtain a negative distance, which means that option A is not correct.
Finally, let's check option D, where Mariah has traveled 110 miles so far:
D = 120 - 45(110) = 120 - 4950 = -4830.
Again, we end up with a negative distance, indicating that option D is also not correct.
Based on our calculations, none of the given options represent how far Mariah has traveled so far.