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?
A.y=20x+75

B.y=20x−75

C.y=75x+20

D.y=75x−20


The equation representing the total number of coins in George's collection after \( x \) months is determined by the following steps:

1. Initially, George's dad gave him 75 coins.
2. Every month, George adds 20 coins to the collection.

The total number of coins, \( y \), after \( x \) months can be calculated as:

\[
y = 20x + 75
\]

This equation shows that for every month \( x \), George adds 20 coins, and he started with 75 coins.

Thus, the correct answer is:

**A. \( y = 20x + 75 \)**

Would you like more details, or have any questions?

Here are 5 related questions for further practice:
1. If George stops adding coins after 10 months, how many coins will he have?
2. How many coins does George have after 5 months?
3. How long will it take for George to have 275 coins in his collection?
4. If George started with 100 coins instead of 75, how would the equation change?
5. What would the equation be if George removed 5 coins each month instead of adding 20?

**Tip:** When dealing with word problems, identify the initial value (starting point) and the rate of change to set up the equation.

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? A.y=20x+75 B.y=20x−75 C.y=75x+20 D.y=75x−20

Learn how to form a linear equation to calculate the total number of coins in George's collection after x months. George starts with 75 coins and adds 20 coins per month. Suitable for students in Grades 6-8, covering key algebra concepts like linear equations and arithmetic progression.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation