To find the times when the car is 0.05 miles from Julio, we need to set the distance equation equal to 0.05 and solve for t. The distance equation is given as d = |0.5 - 110t|. Setting it equal to 0.05 gives us: |0.5 - 110t| = 0.05 To solve for t, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative. 1. Case 1: 0.5 - 110t = 0.05 Solving for t, we have: 0.5 - 0.05 = 110t 0.45 = 110t t = 0.45 / 110 ≈ 0.0041 hours To convert hours to seconds, multiply by 3600 (the number of seconds in an hour): t ≈ 0.0041 * 3600 ≈ 14.76 seconds 2. Case 2: 0.5 - 110t = -0.05 Solving for t, we have: 0.5 + 0.05 = 110t 0.55 = 110t t = 0.55 / 110 ≈ 0.005 hours Converting hours to seconds, we get: t ≈ 0.005 * 3600 ≈ 18 seconds Therefore, the car is 0.05 miles from Julio at approximately 14.76 seconds and 18 seconds. The correct answer is option a) 13.7s and 18.0s.