George started a coin collection. His dad gave him 75
 coins. Each month he will add 20
 coins to the collection.

Which equation can be used to find y
, the total number of coins in George’s collection after x
 months?

The total number of coins in George's collection after \( x \) months can be expressed as a linear equation. George starts with 75 coins, and every month he adds 20 more coins. 

The general form of a linear equation is:

\[
y = mx + b
\]

Where:
- \( y \) is the total number of coins after \( x \) months,
- \( m \) is the rate of change (the number of coins added each month),
- \( b \) is the initial number of coins.

In this case:
- \( b = 75 \) (the number of coins George starts with),
- \( m = 20 \) (the number of coins added each month).

Thus, the equation becomes:

\[
y = 20x + 75
\]

This equation can be used to find \( y \), the total number of coins in George's collection after \( x \) months.

Would you like more details or have any questions?

Here are 5 related questions to consider:
1. How many coins will George have after 6 months?
2. If George wants to have 200 coins, how many months will it take?
3. How does the equation change if George starts with a different number of coins?
4. What is the significance of the slope in this linear equation?
5. Can you express this problem using a different form of a linear equation?

**Tip**: Always identify the starting value and the rate of change to write linear equations for real-life situations.

George started a coin collection. His dad gave him 75 coins. Each month he will add 20 coins to the collection. Which equation can be used to find y, the total number of coins in George’s collection after x months?

Learn how to write a linear equation to model George’s coin collection. After starting with 75 coins, George adds 20 coins each month. The equation y = 20x + 75 can be used to find the total number of coins after x months. This problem covers algebraic concepts such as linear equations and is suitable for students in Grades 6-8.

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