A cell phone company offers two different monthly text-messaging plans as shown in the table below. For what number of text messages will both plans cost the same?
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OpenStudy (anonymous):
Messaging Plan Monthly Fee Fee per Message
Plan A $35.00 $0.10
Plan B $18.00 $0.30
OpenStudy (anonymous):
Help!
OpenStudy (anonymous):
Can you make equations for the total cost of each plan?
OpenStudy (anonymous):
Ok, for Plan A the total cost can be represented by\[C_{a}=$35+$0.10 \times T\]where T is the number of texts.
Can you make an equation for Plan B?
OpenStudy (anonymous):
u let me see
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OpenStudy (anonymous):
what does Ca stand for does a stand for plan A
OpenStudy (anonymous):
The cost of Plan A, yes.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Cb=$18+ $0.30*T
OpenStudy (anonymous):
Yes!
So there's going to be a value of T that makes Ca=Cb.
So just solve\[18+0.30 \times T=35+0.10 \times T\]and you're done!
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OpenStudy (anonymous):
ALRIGHT SO I GOT T=85
OpenStudy (anonymous):
Yes!
OpenStudy (anonymous):
thank you you always break them down and make the ones that were hard super easy