You are dealing with a linear relationship where each table seats a certain number of learners.

• Initially, 6 learners fit at one table.
• Adding a second table increases the total to 8 learners.

The increase in learners from one table (6 learners) to two tables (8 learners) shows that each additional table adds 2 more learners. Thus, for every additional table beyond the first, the number of learners increases by 2.

Let's define the number of learners as $L$ and the number of tables as $T$. The relationship can be written as a linear equation:

$L = 2T + 4$

Where:

• $L$ is the number of learners,
• $T$ is the number of tables.

This equation works because:

• For $T = 1$, $L = 2(1) + 4 = 6$ learners (correct for 1 table),
• For $T = 2$, $L = 2(2) + 4 = 8$ learners (correct for 2 tables).

Now, to find the number of learners for 25 tables, substitute $T = 25$ into the equation:

$L = 2(25) + 4 = 50 + 4 = 54 \text{ learners.}$

Thus, there would be 54 learners in 25 tables.

Would you like further explanation or details? Here are 5 related questions you might find interesting:

1. How would the equation change if the number of learners added per table was different?
2. How can you graph this linear relationship between tables and learners?
3. What is the formula if each table adds a fixed number of learners, but starts with a different initial count?
4. How many tables would be needed to seat exactly 100 learners?
5. How does the slope of the equation represent the rate of increase in learners?

Tip: In linear equations, the slope determines the rate of change between the two variables, while the constant represents the starting point.