17. Model with Math The winning team in a 400 -meter relay race had a time of 198.608 seconds. Suppose all 4 of the split times were the same. Write and solve an equation to find the split times.

To determine each runner's split time in the 400-meter relay race, follow these steps: 1. **Define the Variable:** - Let \( x \) represent the split time for each runner in seconds. 2. **Set Up the Equation:** - Since there are 4 runners and each has the same split time, the total time is the sum of all split times. - Therefore, the equation is: \[ 4x = 198.608 \] 3. **Solve for \( x \):** - Divide both sides of the equation by 4 to isolate \( x \): \[ x = \frac{198.608}{4} \] \[ x = 49.652 \] 4. **Conclusion:** - Each runner's split time is **49.652 seconds**. **Verification:** To ensure the solution is correct, multiply the split time by 4: \[ 4 \times 49.652 = 198.608 \text{ seconds} \] This matches the total race time, confirming the solution is accurate. **Answer:** Each runner's split time is 49.652 seconds.