Respuesta :
Answer:
125 text messages.
Step-by-step explanation:
Let x represent number of text messages.
We have been given that the Call First cell phone company charges $35 per month and an additional $0.16 for each text message sent during the month.
The cost of sending x text messages using call first would be [tex]0.16x[/tex].
The total cost of sending x text messages using call first would be [tex]0.16x+35[/tex].
Cellular Plus, charges $45 per month and an additional $0.08 for each text message sent during the month.
The cost of sending x text messages using cellular plus would be [tex]0.08x[/tex].
The total cost of sending x text messages using cellular plus would be [tex]0.08x+45[/tex].
Now, we will equate both expressions to solve for x as:
[tex]0.16x+35=0.08x+45[/tex]
[tex]0.16x-0.08x+35=0.08x-0.08x+45[/tex]
[tex]0.08x+35=45[/tex]
[tex]0.08x+35-35=45-35[/tex]
[tex]0.08x=10[/tex]
[tex]\frac{0.08x}{0.08}=\frac{10}{0.08}[/tex]
[tex]x=125[/tex]
Therefore, 125 text messages would have to be sent in a month to make both plans cost the same.
