A cell phone plan cost $30 per month for unlimited calling plus $.15 per message.

A. Write a linear model that represents the monthly cost of the cell phone plan if the user sends t text messages.
B. if you send 200 text messages, how much would you pay according to this cell phone plan?

You are welcome.

A. To write a linear model that represents the monthly cost of the cell phone plan, we start with the fixed cost, which is $30 for unlimited calling. Then we add the variable cost, which is $0.15 per message sent. Let's call the number of text messages sent 't'.

The equation for the monthly cost of the cell phone plan can be expressed as:

Cost = Fixed cost + Variable cost
Cost = $30 + ($0.15 * t)

B. To find out how much you would pay if you send 200 text messages, we substitute 't' with 200 in the equation we derived above:

Cost = $30 + ($0.15 * 200)
Cost = $30 + $30
Cost = $60

Therefore, if you send 200 text messages, you would pay $60 according to this cell phone plan.

c(m) = .15 m + 30.00

c(200) = .15(200) + 30

Thank you