Question

A phone company charges for service according to the formula: C ( n ) = 24 + 0.08 n C ( n ) = 24 + 0.08 n , where n n is the number of minutes talked, and C ( n ) C ( n ) is the monthly charge, in dollars.

The rate of change in this equation is:
The initial value in this equation is:

Answer 1

The rate of change is 0.08 and the initial value is 24.

Explanation:

1. You have the following formula:

`C(n)=24+0.08n`

2. It has the form of a equation of the line, which is:

`y=mx+b`

Where
`m` is the slope, which gives the rate of change and
`b` is the y-intercept (The initial value, when
`x=0`)

3. Therefore, the rate of change of the given formula is:

`m=0.08`

4. And the initial value is:

`b=24`