A cell phone company charges a flat rate of $5.25 per month, with an additional charge of $0.29 per minute. How many minutes did Taylor talk on her cell phone if her monthly bill was $27.00?

Answer 1

To find out how many minutes Taylor talked on her cell phone, we can set up an equation based on the billing information provided by the cell phone company.

Let \( m \) be the number of minutes Taylor talked. The total cost of her monthly bill can be represented by the equation:

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

Substituting the known values into the equation gives us:

\[ 27.00 = 5.25 + (0.29 \times m) \]

Next, we will isolate \( m \). First, subtract the flat rate from both sides:

\[ 27.00 - 5.25 = 0.29m \]

Calculating the left side:

\[ 21.75 = 0.29m \]

Now, to find \( m \), divide both sides by 0.29:

\[ m = \frac{21.75}{0.29} \]

Performing the division:

\[ m \approx 75 \]

Therefore, Taylor talked for approximately \( \boxed{75} \) minutes on her cell phone.