Answer :
Final answer:
David walks 2.3 kilometers when Ted walks 5.4 kilometers, and Ted walks 8 kilometers when David walks 4.9 kilometers, based on their relationship where Ted always walks 3.1 kilometers farther than David.
Explanation:
To solve for the distances David and Ted walk, let's use their relationships:
Part A
If Ted walks 5.4 kilometers, the equation for the number of kilometers David walks, d, is d = t - 3.1, where t is the distance Ted walks. Therefore, if Ted walks 5.4 kilometers, then d = 5.4 km - 3.1 km = 2.3 km. So, David walks 2.3 kilometers.
Part B
If David walks 4.9 kilometers, the equation for the number of kilometers Ted walks, t, is t = d + 3.1. Therefore, if David walks 4.9 kilometers, then t = 4.9 km + 3.1 km = 8 km. So, Ted walks 8 kilometers.
Fill in the blanks:
- If Ted walks 5.4 kilometers, then David walks for 2.3 kilometers.
- If David walks 4.9 kilometers, then Ted walks for 8 kilometers.
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