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A mobile phone plan costs R20 per month plus R2.50 per minute. Calculate the total cost for various minutes and describe the relationship.
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Step-by-step solution
2 stepsPart 1· 2 steps
1.1 To complete the table, we use the formula: Total Cost (R) = Fixed monthly fee + (Cost per minute Minutes).
Given: Fixed monthly fee = R20, Cost per minute = R2.50.
So, Total Cost (R) = .
Calculate the total cost for each number of minutes.
For : Total Cost
For : Total Cost
For : Total Cost
For : Total Cost
For : Total Cost
For : Total CostComplete the table with the calculated values.
\begin{tabular}{|c|c|} \hline Minutes (M) & Total Cost (R) \\ \hline 0 & 20 \\ 5 & 32.50 \\ 10 & 45 \\ 15 & 57.50 \\ 20 & 70 \\ 30 & 95 \\ \hline \end{tabular}
Part 2
2.1 Describe how the total cost changes as minutes increase.
As the number of minutes increases, the total cost also increases. For every additional minute, the total cost increases by a constant amount.
2.2 What is the cost per additional minute?
The cost per additional minute is given in the problem description.
The cost per additional minute is .
2.3 Is the relationship increasing or decreasing? Explain.
The relationship is increasing. As the number of minutes used increases, the total cost also increases because there is a positive cost associated with each additional minute.
Part 3
3.1 Draw a graph showing the relationship between minutes and total cost.
I cannot draw a graph directly, but here are the instructions and points you need to plot:
- Title: Total Cost vs. Minutes for a Prepaid Plan
- Correct labels:
- X-axis: Minutes (M)
- Y-axis: Total Cost (R)
- Suitable scale: Choose a scale that allows all points to fit comfortably on your graph paper. For example, for minutes, you could use 1 unit = 5 minutes. For total cost, you could use 1 unit = R10.
- At least 5 plotted points: Use the following points from the completed table:
- $(0, 20)$
- $(5, 32.50)$
- $(10, 45)$
- $(15, 57.50)$
- $(20, 70)$
- $(30, 95)$
- Straight line: Connect the plotted points with a straight line, as this is a linear relationship.
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