As per the contract the base rate of the connection is $22.00 per month and calling rate through that phone is $0.44 per minute.
Here, [tex]y[/tex] represents the total cost for the cell phone per month and [tex]x[/tex] represents the number of minutes spend on the phone call each month.
Now, if we have spent [tex]x[/tex] minutes over the phone call over the period of a month, then the total cost we need to pay for the phone calls is given by:
[tex]0.44 \times x=0.44x[/tex], since it costs $0.44 for each minute of phone call.
And in addition to the cost of phone calls he needs to pay a base rate of $22.00.
So, the linear equation that represents the total cost is given by:
[tex]y=0.44x+22[/tex]