Question

Step Inequalities HW

Your cell phone plan costs $34.99 per month plus $0.12 for each text message you send or receive. You have at most $39 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

33

Explanation:

First, set up the equation. It's essentially a linear equation, except instead of our y= we have a set number that we cannot go above.

solve the inequality algebraically, as if it were a normal equation.

39 >= 0.12x+34.99

-34.99 -34.99

4.01 >= 0.12x

/0.12 /0.12

33.42 >= x

round the answer so it makes sense in the context of the equation. You can't have 0.42 text messages, so it makes the most sense to round down to 33.