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Two mobile phone companies, Cellulon and Mobil, offer price plans for mobile internet access - Junior Cycle Mathematics - Question 6 - 2015
Question 6
Two mobile phone companies, Cellulon and Mobil, offer price plans for mobile internet access. A formula, in x, for the total cost per month for each company is shown... show full transcript
Worked Solution & Example Answer:Two mobile phone companies, Cellulon and Mobil, offer price plans for mobile internet access - Junior Cycle Mathematics - Question 6 - 2015
Step 1
Draw the graphs of c(x) and m(x)
Answer
To draw the graphs of c(x) and m(x):
-
Cellulon (c(x)):
- The formula is c(x) = 4x.
- For x = 0, c(0) = 0.
- For x = 700, c(700) = 4 * 700 = 2800.
- Plot the points (0, 0) and (700, 2800).
- Draw a straight line between these points.
-
Mobil (m(x)):
- The formula is m(x) = 1000 + 2x.
- For x = 0, m(0) = 1000.
- For x = 700, m(700) = 1000 + 2 * 700 = 2400.
- Plot the points (0, 1000) and (700, 2400).
- Draw a straight line between these points.
Ensure the graph is properly labeled for clarity.
Step 2
Step 4
Explain how your answer to part (c) would help Fergus choose between Cellulon and Mobil.
Answer
If the data is less than 500 MB per month, Cellulon is cheaper. If the data is more than 500 MB per month, Mobil is cheaper. Therefore, knowing the point of intersection allows Fergus to compare costs effectively based on his anticipated data usage.