I need to write an equation for the following:

Denise's cell phone plan is $29.95 per month plus $.10 per minute for each minute over 300 minutes of call time. Denise's cell phone bill is $99.95. For how many minutes was she billed?

The fixed charge is 29.95 out of a 99.95 bill, so the minute charge is 99.95-29.95 = $70

How many minutes can $70 buy at 10 minutes for a dollar?

let x = over time (in minutes)

therefore,
29.95 + 10x = 99.95
10x = 99.95 - 29.95
10x = 70
x = 7 minutes
total minutes billed is 300 + 7 = 307 minutes

so there,, :)

Um...

Each additional minute costs $0.10.
So $70 buys 70/0.10=700 minutes in addition to the 300 fixed minutes. The total is therefore...

To solve this problem and find the number of minutes Denise was billed for, we can set up an equation. Let's assume the number of minutes she was billed is represented by "x".

The equation for Denise's cell phone bill can be expressed as:

29.95 + 0.10(x - 300) = 99.95

Let's break down the equation:

- The $29.95 represents the base cost of her plan per month.
- (x - 300) represents the number of minutes over the initial 300 minutes. We subtract 300 from the total minutes billed (x) to account for the first 300 minutes being covered by the base cost.
- 0.10 is the additional cost per minute over 300 minutes.
- Finally, we set the equation equal to her total bill, $99.95.

To solve the equation, we can follow these steps:

1. Distribute the 0.10 to the terms inside the parentheses (x - 300):
29.95 + 0.10x - 0.10(300) = 99.95

2. Simplify the equation:
29.95 + 0.10x - 30 = 99.95

3. Combine like terms:
0.10x - 0.05 = 99.95

4. Add 0.05 to both sides of the equation:
0.10x = 99.95 + 0.05

5. Combine the terms on the right side:
0.10x = 100

6. Divide both sides of the equation by 0.10:
x = 100 / 0.10

7. Calculate the value of x:
x = 1000

Therefore, Denise was billed for 1000 minutes.