As Terri and Jackie are running a race, their distances from the starting line vary, with Jackie pulling away from Terri during the entire race. If we let Terri's distance from the starting line (in meters) be represented by
d
t
and Jackie's distance from the starting line (in meters) be represented by
d
j
...Write an expression to represent the total distance run by Terri and Jackie since they began the race

To represent the total distance run by Terri and Jackie since they began the race, we sum their individual distances from the starting line.

Let:

- \( d_t \) be Terri's distance from the starting line (in meters).
- \( d_j \) be Jackie's distance from the starting line (in meters).

The expression for the total distance run by both Terri and Jackie is:

\[
d_t + d_j
\]

This expression represents the sum of the distances that Terri and Jackie have each run since the start of the race.

Would you like any further explanation or details on this? 

Here are some related questions you might find helpful:

1. How can we represent the difference in their distances mathematically?
2. If \(d_t\) is a function of time, how would we express it?
3. How would the expression change if Jackie starts from a different position?
4. What if Terri and Jackie run at constant speeds? How would the distances be represented then?
5. How can we calculate the average speed of each runner given their distances?

**Tip:** When solving distance problems, keep in mind the relationship between distance, speed, and time: \( \text{Distance} = \text{Speed} \times \text{Time} \).

Understand how to represent the total distance run by Terri and Jackie since the beginning of a race. Learn the mathematical expression for summing their distances from the starting line. Suitable for students in Grades 7-9.

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