Answer :
Answer:
[tex]\left \{ {{C(x)=50\text{, If }x\leq 700} \atop {C(x)=50+0.1(x-700)\text{ If }x>700} \right.[/tex]
Step-by-step explanation:
Let x represent number of minutes after 700 minutes.
We have been given that that a cell phone plan has a basic charge of $50 a month. The plan includes 700 free minutes and charges 10 cents for each additional minute of usage.
The cost C(x) for 700 minutes will be equal to $50 that is [tex]C(x)=50\text{ If }x\leq 700[/tex].
The cost for extra minutes after 700 minutes would be:
[tex]C(x)=50+0.1(x-700)[/tex]
Upon combining both functions, we will get:
[tex]\left \{ {{C(x)=50\text{, If }x\leq 700} \atop {C(x)=50+0.1(x-700)\text{ If }x>700} \right.[/tex]