A phone company offers two monthly plans. Plan A costs $8 plus an additional $0.13 for each minute of calls. Plan B costs $15 plus an additional $0.09 for each minute of calls.For what amount of calling do the two plans cost the same?minutesWhat is the cost when the two plans cost the same?$
Question
A phone company offers two monthly plans. Plan A costs 0.13 for each minute of calls. Plan B costs 0.09 for each minute of calls.For what amount of calling do the two plans cost the same?minutesWhat is the cost when the two plans cost the same?$
Solution
To find out when the two plans cost the same, we need to set up an equation where the cost of Plan A equals the cost of Plan B.
Let's denote the number of minutes of calls as x.
The cost of Plan A is 0.13x and the cost of Plan B is 0.09x.
So, we set up the equation:
8 + 0.13x = 15 + 0.09x
To solve for x, we first subtract 0.09x from both sides of the equation:
0.04x = 7
Then, we divide both sides by 0.04 to solve for x:
x = 7 / 0.04 = 175 minutes
So, the two plans cost the same when you make 175 minutes of calls.
To find the cost when the two plans cost the same, we can substitute x = 175 into either of the original equations. Let's use Plan A:
Cost = 8 + 0.13 * 175 = $30.5
So, the cost when the two plans cost the same is $30.5.
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