Question

Your cell phone plan cost $39.99 per month plus $.13 for each text message you send or receive. You have at most $45 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month?

Answer 1

Answer:

At most 38 text messages.

Step-by-step explanation:

Let x represent number of text message you send or receive.

We have been given that the cell phone plan charges $.13 for each text message you send or receive. So amount charged for sending or receiving x text messages would be $0.13x$.

We are also told that your cell phone plan cost $39.99 per month, so total cost of monthly bill would be $0.13x+39.99$.

Since you can spend at most $45, so total cost of x messages should be less than or equal to 45 as:

$0.13x+39.99\leq 45$

$0.13x+39.99-39.99\leq 45-39.99$

$0.13x\leq 5.01$

$\frac{0.13x}{0.13}\leq \frac{5.01}{0.13}$

$x\leq 38.5384615$

Therefore, you can send or receive at most 38 text messages.