Algebra, STD1 EQ-Bank 14

GreenCut Lawn Services charges a fixed call-out fee of $25 plus $40 per hour of work.

Let \(C\) = total charge in dollars, and  \(h\) = number of hours worked.

1. Complete the table of values below that models the relationship between GreenCut's Lawn Services hours worked and total charge.   (1 mark)
   

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   \begin{array}{|c|c|c|c|c|c|c|}
   \hline
   \quad \rule{0pt}{2.5ex}h\quad  \rule[-1ex]{0pt}{0pt}& \quad 0 \quad & \quad 1 \quad &\quad  2\quad  & \quad 3 \quad & \quad 4 \quad & \quad 5 \quad\\
   \hline
   \rule{0pt}{2.5ex}C & & 65 & 105 \rule[-1ex]{0pt}{0pt}& 145 & & 225 \\
   \hline
   \end{array}

2. Using the table of values from (a), neatly graph the total charge for work completed from 0 to 5 hours on the grid below.   (1 mark)
   

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3. Using your graph from (b), or otherwise, find the total charge for 2.5 hours of work.   (1 mark)
   

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4. A customer has a budget of $160. Using your graph from (b), or otherwise, determine the maximum number of complete hours GreenCut can work within this budget.   (1 mark)
   

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