This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Determine the number of houses on each side of the street (Question 1.5). The Y-axis of the provided graph represents the house numbers. The maximum value indicated on the Y-axis is . This suggests that the street has houses numbered up to .
Step 2: State the number of houses and show calculations (Question 1.5). Based on the maximum house number shown on the graph's Y-axis, it is inferred that there are houses on each side of the street. To verify this with the sequence formula : If the last house number is , then: This means the -th street light would be on the -st house, consistent with the graph's maximum Y-value. The number of houses on each side of the street is .
Step 3: List the points to be plotted (Question 1.6). The street light information consists of the position of the street light () and the corresponding house number (). Using the formula from the previous problem: • For the 1st street light (): . Point: • For the 2nd street light (): . Point: • For the 3rd street light (): . Point: • For the 4th street light (): . Point: • For the 5th street light (): . Point:
Step 4: Represent the information on the graph (Question 1.6). Plot the points , , , , and on the provided Cartesian plane. The X-axis represents the position of the street light, and the Y-axis represents the house number. After plotting these points, draw a straight line connecting them, as this sequence represents an arithmetic progression.
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Determine the number of houses on each side of the street (Question 1.5). The Y-axis of the provided graph represents the house numbers.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.