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1. Corinne has a cell phone plan that includes 200 minutes for phone calls and unlimited texting. An additional fee is charged for using more than 200 minutes for phone calls. The figure below is the graph of C = f(m), where C is the monthly cost after m minutes used. Part A What is the minimum monthly cost for Corinne's cell phone plan? Show or explain your work. Part B What is the value of f(150). Explain its meaning in terms of the cell phone plan. Part C For what mis f(m) = 55? Explain its meaning in terms of the cell phone plan. Part D What is the cost per minute after Corinne uses her monthly allowance of 200 minutes? Show or explain your work.

Sagot :

Answer:

Part A) Minimum cost = $30

Part B) Value of f(150) = $30

Part C) m = 275 minutes

Part D) Cost per minute after 200 minutes = $0.2

Explanations:

From the graph shown:

Monthly rate for 200 minutes for phone calls = $30

An additional fee is charged for more than 200 minutes for phone calls

Part A) The minimum monthly cost of Corinne's cell phone plan.

Note that the minimum monthly cost of Corinne's cell phone plan will be when he does not use more than 200 minutes for phone calls.

Therefore, the minimum monthly cost, C = f(200) = $30

Part B)

The value of f(150)

f(150) means the cost of Corinne's cell phone plan when 150 minutes is spent for phone calls, i.e. m = 150

Since there is a flat rate of $30 for 0 to 200 minutes, f(150) = $30

Part C)

For what m is f(m) = 55

This means that we should find the number of minutes spent when the cost of the plan is $55

From the graph, $55 is charged at 275 minutes

Therefore, when f(m) = 55, m = 275 minutes

Part D)

Cost per minutes after the monthly allowance of 200 minutes

After the monthly allowance of 200 minutes, we would notice that, for every 50 minutes, there is a $10 charge. That means that for every 1 minute, there will be a charge of 10/50 = $0.2

Cost per minute = $0.2

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