Question

1. phone plan a includes a $30 flat fee for unlimited talk/text and the data costs $10 per gb after the first free 2 gb. el plan telefónico a incluye una tarifa fija de $30 por conversaciones y mensajes de texto ilimitados y los datos cuestan $10 por gb después de los primeros 2 gb gratis. 1a) write two equations for the cost including the inequality statement of when that equation can be used, where x = gb of data used. escribe dos ecuaciones para el costo incluyendo la desigualdad, donde x = gb de datos usados.

Explanation:

Step1: Cost when data usage is 2 GB or less

When $x\leq2$, there is no additional data - cost beyond the flat - fee. The cost function $C(x)$ is just the flat - fee of $30$. So, $C(x)=30$ for $x\leq2$.

Step2: Cost when data usage is more than 2 GB

When $x > 2$, the cost is the flat - fee of $30$ plus $10$ for each GB of data above 2. The amount of data above 2 GB is $(x - 2)$. So the cost function is $C(x)=30+10(x - 2)=30 + 10x-20=10x + 10$ for $x>2$.

Answer:

$C(x)=30$, when $x\leq2$
$C(x)=10x + 10$, when $x>2$