A phone company offers two monthly plans. Plan A costs
$11
plus an additional
$0.12
for each minute of calls. Plan B costs
$27
plus an additional
$0.07
for each minute of calls. when do the two planscost the same?
11 + .12m = 27 + .07m
Solve for m.
m=150
To find out when the two plans cost the same, we need to set the total cost of Plan A equal to the total cost of Plan B and solve for the number of minutes of calls, denoted as x.
The total cost of Plan A is given by the equation:
Total cost of Plan A = $11 + ($0.12 * x)
The total cost of Plan B is given by the equation:
Total cost of Plan B = $27 + ($0.07 * x)
Setting the two equations equal, we have:
$11 + ($0.12 * x) = $27 + ($0.07 * x)
Now, let's solve the equation to find x:
$0.12 * x - $0.07 * x = $27 - $11
Combine like terms:
$0.05 * x = $16
Dividing both sides of the equation by $0.05:
x = $16 / $0.05
x = 320
Therefore, the two plans will cost the same when the number of minutes of calls is 320.