A phone company offers two monthly plans. Plan A costs $9 plus an additional $0.12 for each minute of calls . Plan B costs $15 p lus an additional $0.07 for each minute of calls . For what amount of calling does the to plans cost the same ? What is the cost when the to plans cost the same ?
2 answers:
Answer:
$23.40
Step-by-step explanation:
We have to set up an equation for when A equals B.
Plan A = Plan B
x = # of additional minutes of calls
0.12x + 9 = 0.07x + 15
0.05x = 6
x = 120
Now we have the number of minutes needed. Since these 2 expressions are equal, you can just substitute 120 for either of them.
0.12x + 9 --> 0.12 (120) + 9 --> 23.4
Answer:
Step-by-step explanation:
Let x represent the number of minutes of call for which both plans would cost the same.
Plan A costs $9 plus an additional $0.12 for each minute of calls. This means that the total cost of using plan A for x minutes would be
9 + 0.12x
Plan B costs $15 plus an additional $0.07 for each minute of calls. This means that the total cost of using plan B for x minutes would be
15 + 0.07x
For both costs to be the same,
9 + 0.12x = 15 + 0.07x
0.12x - 0.07x = 15 - 9
0.05x = 6
x = 6/0.05 = 120 minutes
The cost when the two plans will cost the same is
15 + 0.07 × 120 = $23.4
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