Final answer:
After solving for d in the equation d = 2t, we find that when t = 0, d = 0; when t = 3, d = 6; and when t = 5, d = 10. The slope of line AB, found using the points A(-3, 12) and B(-11, -16), is 3.5, which is not given in the answer choices. There seems to be a discrepancy as none of the multiple-choice options match these solutions.
Step-by-step explanation:
To solve for d in the equation d = 2t, we simply multiply the given values of t by 2. So, for t = 0, d = 2(0) = 0; for t = 3, d = 2(3) = 6; and for t = 5, d = 2(5) = 10. The slope of line AB is calculated using the slope formula, which is (change in y) / (change in x). Given the points A(-3, 12) and B(-11, -16), the slope is (-16 - 12) / (-11 - (-3)) = -28 / -8 = 3.5. However, none of the answer choices provided has a slope of 3.5, which suggests a potential error in the question or answer choices.
But to get a slope from the listed answers, the calculation would be: (-16 - 12) / (-11 - (-3)) which equals -28 / -8 = 3.5, which is not listed in the given choice. Considering the equations and points provided, none of the answer choices A, B, C, or D match the calculations for d and the slope that we have found. Thus, the correct answer seems to be missing from the options provided.