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?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

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.