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 550 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 3750 ). the mother and the three children have used messages. the father has used at least 700 messages. so, the amount of messages the family has used is type whole numbers.

Explanation:

Step1: Calculate messages used by mother and children

The mother used 1400 messages. Each of the three children used 550 messages. So the total messages used by mother and children is \(1400 + 3\times550=1400 + 1650 = 3050\)

Step2: Form the inequality

Let \(m\) be the number of messages. The father has used at least 700 messages. So the total messages \(m\) used by the family is \(m\geq3050 + 700\)

Answer:

Let \(m\) = the number of messages. Then \(m\geq3750\). The mother and the three children have used \(3050\) messages. The father has used at least 700 messages. So, the amount of messages the family has used is \(\geq3750\)