Question
A phone company charges for service according to the formula: C(n)=12+0.1n, 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
Dollars
Minutes per Dollar
Minutes
The initial value in this equation is :
Dollars
Minutes
Dollars per Minute
Minutes per dollar
The rate of change in this equation is:
Dollars per Minute
Dollars
Minutes per Dollar
Minutes
The initial value in this equation is :
Dollars
Minutes
Dollars per Minute
Minutes per dollar
Answers
GPT-4o mini
For the equation \( C(n) = 12 + 0.1n \):
1. **Rate of Change**: The coefficient of \( n \) (which is \( 0.1 \)) represents the rate at which the cost changes with respect to the number of minutes talked. Therefore, the rate of change is in terms of **Dollars per Minute**. This means for every additional minute talked, the cost increases by $0.10.
2. **Initial Value**: The initial value in this equation is the constant term, which is \( 12 \). This represents the base monthly charge which is applied regardless of the number of minutes talked. Thus, the initial value is in terms of **Dollars**.
To summarize:
- The rate of change is **Dollars per Minute**.
- The initial value is **Dollars**.
1. **Rate of Change**: The coefficient of \( n \) (which is \( 0.1 \)) represents the rate at which the cost changes with respect to the number of minutes talked. Therefore, the rate of change is in terms of **Dollars per Minute**. This means for every additional minute talked, the cost increases by $0.10.
2. **Initial Value**: The initial value in this equation is the constant term, which is \( 12 \). This represents the base monthly charge which is applied regardless of the number of minutes talked. Thus, the initial value is in terms of **Dollars**.
To summarize:
- The rate of change is **Dollars per Minute**.
- The initial value is **Dollars**.