A cell phone company charges a flat tire of $3.99 per month, with an additional charge of $0.05 per minute. How many minutes did Casey talk on her cell phone of her monthly bill was $38.44?

Answer 1

To find out how many minutes Casey talked on her cell phone, we can set up the equation based on the information provided.

Let \( m \) be the number of minutes Casey talked. The total cost of the cell phone bill can be represented as:

\[ \text{Total Cost} = \text{Flat Fee} + (\text{Cost per Minute} \times \text{Number of Minutes}) \]

From the problem, we know:

• Flat Fee: $3.99
• Cost per Minute: $0.05
• Total Cost: $38.44

Substituting the known values into the equation:

\[ 38.44 = 3.99 + 0.05m \]

To isolate \( m \), first, we need to subtract the flat fee from both sides:

\[ 38.44 - 3.99 = 0.05m \]

Calculating the left side:

\[ 34.45 = 0.05m \]

Next, divide both sides by 0.05 to solve for \( m \):

\[ m = \frac{34.45}{0.05} \]

Calculating this gives:

\[ m = 689 \]

Therefore, Casey talked for 689 minutes on her cell phone.