Question

1. a phone company offers two options. the first plan is an unlimited calling plan for $34.95 a month. the second plan is a $20.95 monthly fee plus $0.04 a minute for call time. when is the unlimited plan a better deal?

Explanation:

Step1: Set up cost - equations

Let $x$ be the number of call - minutes in a month.
The cost of the first plan $C_1 = 34.95$.
The cost of the second plan $C_2=20.95 + 0.04x$.

Step2: Find when $C_1

We want to find when $34.95<20.95 + 0.04x$.
Subtract 20.95 from both sides:
$34.95−20.95<20.95 + 0.04x−20.95$.
$14<0.04x$.

Step3: Solve for $x$

Divide both sides of the inequality $14<0.04x$ by 0.04:
$x>\frac{14}{0.04}$.
$x > 350$.

Answer:

When the number of call - minutes in a month is greater than 350, the unlimited plan is a better deal.