Question
you are choosing between two different cell phone plans the first plant charges a rate of $0.23 per minute. The second plan charges a monthly fee of $49.95 plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable round up to the nearest whole minute.
Answers
GPT 3.5
To find out how many minutes you would need to use in a month for the second plan to be preferable, you need to set up an equation and solve for the number of minutes.
Let's assume the number of minutes used in a month is x.
For the first plan, the cost would be 0.23x (since the rate is $0.23 per minute).
For the second plan, the cost would be $49.95 + 0.09x (since there is a monthly fee of $49.95 plus 9 cents per minute).
To find when the second plan is preferable, we need to set up the following equation:
49.95 + 0.09x < 0.23x
Now we solve the equation for x:
49.95 < 0.23x - 0.09x
49.95 < 0.14x
49.95 / 0.14 < x
356.79 < x
Therefore, you would need to use more than 356 minutes in a month for the second plan to be preferable.
Rounding up to the nearest whole minute, you would need to use at least 357 minutes in a month for the second plan to be preferable.
Let's assume the number of minutes used in a month is x.
For the first plan, the cost would be 0.23x (since the rate is $0.23 per minute).
For the second plan, the cost would be $49.95 + 0.09x (since there is a monthly fee of $49.95 plus 9 cents per minute).
To find when the second plan is preferable, we need to set up the following equation:
49.95 + 0.09x < 0.23x
Now we solve the equation for x:
49.95 < 0.23x - 0.09x
49.95 < 0.14x
49.95 / 0.14 < x
356.79 < x
Therefore, you would need to use more than 356 minutes in a month for the second plan to be preferable.
Rounding up to the nearest whole minute, you would need to use at least 357 minutes in a month for the second plan to be preferable.