Question
A phone company charges for service according to the formula: C(n)=23 + 0.06n, where n is the number of minutes talked, and C(n) is the monthly charge, in dollars.
The rate of change in this equation is:
Dollars per Minute
Minutes per Dollar
Dollars
Minutes
The initial value in the equation is :
Minutes
Minutes per Dollar
Dollars
Dollars per Minute
The rate of change in this equation is:
Dollars per Minute
Minutes per Dollar
Dollars
Minutes
The initial value in the equation is :
Minutes
Minutes per Dollar
Dollars
Dollars per Minute
Answers
GPT-4o mini
To analyze the equation \( C(n) = 23 + 0.06n \):
1. **Rate of Change**: The term associated with \( n \) is \( 0.06 \), which represents the charge per minute of talk time. Therefore, the rate of change in this equation is:
- **Dollars per Minute**
This means for every additional minute talked, the cost increases by $0.06.
2. **Initial Value**: The initial value in the equation is the constant term, which is \( 23 \). This represents the base fee for the service when no minutes are talked (i.e., \( n = 0 \)). Thus, the initial value is:
- **Dollars**
This means that even with 0 minutes of talking, there is a charge of $23.
In summary:
- The rate of change is **Dollars per Minute**.
- The initial value is **Dollars**.
1. **Rate of Change**: The term associated with \( n \) is \( 0.06 \), which represents the charge per minute of talk time. Therefore, the rate of change in this equation is:
- **Dollars per Minute**
This means for every additional minute talked, the cost increases by $0.06.
2. **Initial Value**: The initial value in the equation is the constant term, which is \( 23 \). This represents the base fee for the service when no minutes are talked (i.e., \( n = 0 \)). Thus, the initial value is:
- **Dollars**
This means that even with 0 minutes of talking, there is a charge of $23.
In summary:
- The rate of change is **Dollars per Minute**.
- The initial value is **Dollars**.