Question

a cell phone provider offers a plan that costs $30 per month plus $0.10 per text message sent or received. a comparable plan costs $50 per month but offers unlimited text messaging. complete parts a and b. below.
a. how many text messages would have to be sent or received in order for the plans to cost the same each month?
in order for the plans to cost the same, text messages would have to be sent or received.
(simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Set up equations

Let \(x\) be the number of text messages.
The cost of the first plan is \(C_1 = 30+0.1x\).
The cost of the second plan is \(C_2 = 50\).

Step2: Set \(C_1 = C_2\)

$$
LATEXBLOCK0
$$

Step3: Solve for \(x\)

$$x=\frac{20}{0.1}=200$$

Answer:

\(200\)