Question
The shirts cost $100 for printing and setup , plus $10 per shirt . The team will sell the shirts for $15 dollars each . What 2 equations model this situation?
Answers
GPT-4o mini
To model the situation with two equations, we can define the following variables:
- Let \( x \) be the number of shirts sold.
- Let \( C \) be the total cost.
- Let \( R \) be the total revenue.
Based on the information provided:
1. **Cost Equation**:
The total cost \( C \) consists of a fixed cost of $100 for printing and setup, plus $10 for each shirt. This can be represented as:
\[
C = 100 + 10x
\]
2. **Revenue Equation**:
The total revenue \( R \) comes from selling the shirts at $15 each. This can be expressed as:
\[
R = 15x
\]
So, the two equations that model this situation are:
1. \( C = 100 + 10x \) (Total Cost)
2. \( R = 15x \) (Total Revenue)
- Let \( x \) be the number of shirts sold.
- Let \( C \) be the total cost.
- Let \( R \) be the total revenue.
Based on the information provided:
1. **Cost Equation**:
The total cost \( C \) consists of a fixed cost of $100 for printing and setup, plus $10 for each shirt. This can be represented as:
\[
C = 100 + 10x
\]
2. **Revenue Equation**:
The total revenue \( R \) comes from selling the shirts at $15 each. This can be expressed as:
\[
R = 15x
\]
So, the two equations that model this situation are:
1. \( C = 100 + 10x \) (Total Cost)
2. \( R = 15x \) (Total Revenue)