Question

the telephone company offers two billing plans for local calls. plan 1 charges $21 per month for unlimited calls and plan 2 charges $14 per month plus $0.04 per call. a. use an inequality to find the number of monthly calls for which plan 1 is more economical than plan 2. b. explain the meaning of the answer to part a. a. let x represent the number of monthly calls. the answer is \boxed{}. (type an inequality.)

Explanation:

Step1: Definir costos de cada plan

Plan 1: Costo fijo de $\$21$ (ilimitado).
Plan 2: Costo fijo $\$14$ + $\$0.04$ por llamada ($x$), así que $14 + 0.04x$.

Step2: Establecer desigualdad (Plan 1 más económico)

Se necesita $21 < 14 + 0.04x$.

Step3: Resolver la desigualdad

Restar 14 de ambos lados: $21 - 14 < 0.04x$ → $7 < 0.04x$.
Dividir por 0.04: $\frac{7}{0.04} < x$ → $175 < x$ o $x > 175$.

Answer:

$x > 175$