Linear Graphs in Real Life Problems

Linear Graphs in Real Life Problems

TGM Original Questions

Emma receives \(\$150\) from her parents as her allowance at the beginning of every month. Suppose Emma spends \(\$4\) each day.

  1. Find the amount of money Emma has left after
    1. \(5\) days,
    2. \(15\) days,
    3. \(25\) days.
  2. Given that \(\$M\) represents the amount of money Emma has after \(n\) days, complete the table below.
    List item image
  3. On a sheet of graph paper, using a scale of \(2\) cm to represent \(5\) days on the horizontal axis and \(1\) cm to represent \(\$10\) on the vertical axis, plot the pairs of values of \((n, M)\) given in the table above.
  4. By drawing a straight line graph through all the points in (iii), find how much money Emma has left at the end of a month. (Assume one month has \(30\) days.)

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Answer:(i)(a) \(\text{SGD}\hspace{0.5em}130\) (i)(b) \(\text{SGD}\hspace{0.5em}90\) (i)(c) \(\text{SGD}\hspace{0.5em}50\) (ii) \(M=150,130,90,50\) (iii) Graph of \(M=150-4n\) (iv) \(\text{SGD}\hspace{0.5em}30\)

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