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?
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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