We read your photo as:

A mobile phone plan costs R20 per month plus R2.50 per minute. Calculate the total cost for various minutes and describe the relationship.

Mathematics

ScanSolve AI Answer

Answer

2

R2.50\text{R2.50}

Step-by-step solution

2 steps

Part 1· 2 steps

1.1 To complete the table, we use the formula: Total Cost (R) = Fixed monthly fee + (Cost per minute ×\times Minutes).
Given: Fixed monthly fee = R20, Cost per minute = R2.50.
So, Total Cost (R) = 20+(2.50×M)20 + (2.50 \times M).

  1. Calculate the total cost for each number of minutes.

    For M=0M = 0: Total Cost =20+(2.50×0)=20+0=20= 20 + (2.50 \times 0) = 20 + 0 = 20
    For M=5M = 5: Total Cost =20+(2.50×5)=20+12.50=32.50= 20 + (2.50 \times 5) = 20 + 12.50 = 32.50
    For M=10M = 10: Total Cost =20+(2.50×10)=20+25=45= 20 + (2.50 \times 10) = 20 + 25 = 45
    For M=15M = 15: Total Cost =20+(2.50×15)=20+37.50=57.50= 20 + (2.50 \times 15) = 20 + 37.50 = 57.50
    For M=20M = 20: Total Cost =20+(2.50×20)=20+50=70= 20 + (2.50 \times 20) = 20 + 50 = 70
    For M=30M = 30: Total Cost =20+(2.50×30)=20+75=95= 20 + (2.50 \times 30) = 20 + 75 = 95

  2. Complete 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

R2.50\text{R2.50}

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 R2.50\boxed{\text{R2.50}}.

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.
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp