let m be the number of minutes
cost1 = .20m + 14
cost2 = .15m + 18
When is .20m + 14 = .15m + 18 ?
.05m = 4
m = 4/.05 = 80
$14 monthly fee and charges an additional
$0.20 for each minute of calls. The second plan has an $18 monthly fee and charges an additional $0.15 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
cost1 = .20m + 14
cost2 = .15m + 18
When is .20m + 14 = .15m + 18 ?
.05m = 4
m = 4/.05 = 80
Let's assume the number of minutes of calls is represented by 'm'.
For the first plan, the cost can be calculated as:
Cost of calls in the first plan = $14 + $0.20 * m
For the second plan, the cost can be calculated as:
Cost of calls in the second plan = $18 + $0.15 * m
We want to find the number of minutes of calls (m) for which the costs are equal, so we can set up the equation:
$14 + $0.20 * m = $18 + $0.15 * m
Now, let's solve this equation to find the value of 'm'.
$0.20 * m - $0.15 * m = $18 - $14
$0.05 * m = $4
m = $4 / $0.05
m = 80
Therefore, the costs of the two plans will be equal when the number of minutes of calls is 80 minutes.
Let's say x represents the number of minutes of calls.
For the first plan, the total cost can be expressed as:
Cost 1 = $14 (monthly fee) + $0.20 (per minute charge) * x (number of minutes of calls)
For the second plan, the total cost can be expressed as:
Cost 2 = $18 (monthly fee) + $0.15 (per minute charge) * x (number of minutes of calls)
To find the number of minutes of calls for which the costs are equal, we can set up the equation:
14 + 0.20x = 18 + 0.15x
Now we can solve this equation for x:
0.20x - 0.15x = 18 - 14
0.05x = 4
x = 4 / 0.05
x = 80
Therefore, the costs of the two plans will be equal for 80 minutes of calls.