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=75x+20

B.y=20x+75

C.y=75x−20

D.y=20x−75


To solve this, let's break it down:

- **Initial number of coins**: George starts with 75 coins.
- **Coins added each month**: Every month, George adds 20 coins to the collection.
- **Total after x months**: We need to find an equation that represents the total number of coins, \( y \), after \( x \) months.

The total number of coins after \( x \) months will be the initial 75 coins plus the number of coins added over \( x \) months (which is \( 20x \)).

Thus, the equation should be:
\[
y = 75 + 20x
\]
This matches option **B**: \( y = 20x + 75 \).

So, the correct answer is **B**.

Do you want more details or have any questions?

Here are 5 related questions you could consider:
1. How many coins will George have after 5 months?
2. What if George adds 25 coins per month instead of 20?
3. How long will it take George to reach 200 coins in total?
4. What would the equation be if George started with 100 coins instead?
5. If George missed adding coins

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

Learn how to find the equation for the total number of coins in a collection after several months. This linear equation problem covers key algebraic concepts and helps students in Grades 6-8 understand how to form and solve equations based on real-world scenarios. The initial number of coins is 75, and 20 coins are added each month.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation