A phone company charges $5 per month and .50¢ per text message sent. Write and graph a linear equation that shows how the total bill depends on the amount of text messages sent.

Answer 1

Let x = the number of text messages sent

Total Cost = Variable Cost (Based on the number of messages sent) + Fixed cost (cost per month you always pay)

C = .50x + 5

Answer 2

Let T represent the total bill, and x represent the number of text messages sent.

The monthly charge is $5, and the charge per text message is $0.50. Therefore, the total bill T can be expressed as the sum of the monthly charge and the charge for text messages:

T=5+0.50x

This equation represents a linear relationship between the total bill and the number of text messages sent. The slope of this line is $0.50, indicating that for each additional text message, the total bill increases by $0.50.

To graph this equation, you can create a coordinate system with the horizontal axis representing the number of text messages (x) and the vertical axis representing the total bill (T). Plot the point (0, 5) to represent the initial $5 monthly charge, and then use the slope of 0.50 to find additional points on the line.

The graph will be a straight line with a slope of 0.50, starting from the point (0, 5). As the number of text messages increases, the line will show a proportional increase in the total bill.

Hope so it will help you