You are choosing between two long-distance fun plans plan a has a monthly fee of $15 with a charge of 0.09 Per minute of long distance calls Plan B has a monthly fee of $12 with a charge of .15 Per minute of long-distance calls how many minutes of long-distance calls in a month make a plan a the better deal

Step-by-step explanation:

This is a system of inequalities problem.  We first need to determine the expression for each phone plan.

Plan A charges $15 whether you use any minutes of long distance or not; if you use long distance you're paying $.09 per minute.  The expression for that plan is

.09x + 15

Plan B charges $12 whether you use any minutes of long distance or not; if you use long distance you're paying $.15 per minute.  The expression for that plan is

.15x + 12

We are asked to determine how many minutes of long distance calls in a month, x, that make plan A the better deal (meaning costs less).  If we want plan A to cost less than plan B, the inequality looks like this:

.09x + 15 < .15x + 12 and "solve" for x:

3 < .06x so

50 < x or x > 50

For plan A to be the better plan, you need to talk at least 50 minutes long distance per month.  Any number of minutes less than 50 makes plan B the cheaper one.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

.95

step-by-step explanation: