Question

the santiago family shares a family cell phone plan. the plan is for 3,900 text messages each month. the mother has used 1,400 messages. the father has used at least 700 messages. the three children have used 850 messages each. write an inequality to show the number of messages the santiago family has used. explain. let ( m = ) the number of messages. then ( m geq 3,750 ). the mother and the three children have used ( square ) messages. the father has used at least 700 messages. so, the amount of messages the family has used is ( square ) (type whole

Explanation:

Step1: Calculate the messages used by mother and children

The mother has used \(1400\) messages. Each of the three children has used \(850\) messages. So the total messages used by mother and children is \(1400 + 3\times850=1400 + 2550 = 3950\)

Step2: Consider the father's usage

The father has used at least \(700\) messages. Let \(m\) be the total number of messages used by the family. Then \(m\) is the sum of messages used by mother - children and father. So \(m\geq3950 + 700\)

Answer:

The mother and the three children have used \(3950\) messages. The amount of messages the family has used is \(m\geq4650\)