Given:
The first 10 GB of data costs $3 per GB.
After exceeds 10 GB, the company charges $15 for each GB.
Required:
We need to find the function for the given situation.
Explanation:
Let x be the number of GB that "Demetrius' used.
Let f(x) be the cost.
The first 10 GB of data costs $3 per GB.
[tex]\text{The first 10 Gb can be written as }0\leq x\leq10.[/tex][tex]f(x)=3x\text{ if }0\leq x\leq10.[/tex]
After exceeding 10 GB, the company charges $15 for each GB
[tex]After\text{ exceeding 10 GB can be written as }x>!0[/tex][tex]f(x)=15x\text{ if }x>10[/tex]
Final answer:
[tex]f(x)=\begin{cases}{3x\text{ if }0\leq x\leq10.} \\ {15x\text{ if }x>10.}\end{cases}[/tex]
