Question
Jordan pays a flat fee of $80 plus .15 cents per minute for his cell phone. If he gets his bill at the end of the month and it is $145, how many minutes did Jordan spend on the phone?
*
1 point
4 minutes
433 minutes
65 minutes
966 minutes
*
1 point
4 minutes
433 minutes
65 minutes
966 minutes
Answers
GPT-4o mini
To find out how many minutes Jordan spent on the phone, we can set up the equation based on his cell phone bill.
The total bill \( B \) is given by the formula:
\[ B = \text{flat fee} + (\text{rate per minute} \times \text{number of minutes}) \]
In this case:
- Flat fee = $80
- Rate per minute = $0.15
- Total bill = $145
Now we can substitute the known values into the equation:
\[ 145 = 80 + (0.15 \times m) \]
Where \( m \) is the number of minutes. First, we can isolate the term that includes \( m \) by subtracting the flat fee from both sides:
\[ 145 - 80 = 0.15m \]
\[ 65 = 0.15m \]
Next, we solve for \( m \) by dividing both sides by 0.15:
\[ m = \frac{65}{0.15} \]
\[ m = 433.33 \]
Since \( m \) must be a whole number (you can't spend a fraction of a minute), we round to the nearest whole number, which in this case is 433.
Thus, the number of minutes Jordan spent on the phone is **433 minutes**.
The total bill \( B \) is given by the formula:
\[ B = \text{flat fee} + (\text{rate per minute} \times \text{number of minutes}) \]
In this case:
- Flat fee = $80
- Rate per minute = $0.15
- Total bill = $145
Now we can substitute the known values into the equation:
\[ 145 = 80 + (0.15 \times m) \]
Where \( m \) is the number of minutes. First, we can isolate the term that includes \( m \) by subtracting the flat fee from both sides:
\[ 145 - 80 = 0.15m \]
\[ 65 = 0.15m \]
Next, we solve for \( m \) by dividing both sides by 0.15:
\[ m = \frac{65}{0.15} \]
\[ m = 433.33 \]
Since \( m \) must be a whole number (you can't spend a fraction of a minute), we round to the nearest whole number, which in this case is 433.
Thus, the number of minutes Jordan spent on the phone is **433 minutes**.