Question

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which describes the scale on the x - and y - axes that is most appropriate for the graph of (125, 10), (50, 15), (-37.5, -120), (125, 25), and (75, 130)?

a) both the x - and y - axes should extend from -100 to 100 with a scale of 1.
b) the x - axis should extend from -50 to 150 with a scale of 5. the y - axis should extend from -30 to 30 with a scale of 10.
c) both the x - and y - axes should extend from -200 to 200 with a scale of 25.
d) the x - axis should extend from -10 to 10 with a scale of 1. the y - axis should extend from -30 to 30 with a scale of 20.

Explanation:

Step1: Find the range of x - values

The x - values are 125, 50, - 37.5, 125, 75. The minimum x - value is - 37.5 and the maximum is 125.

Step2: Find the range of y - values

The y - values are 10, 15, - 120, 25, 130. The minimum y - value is - 120 and the maximum is 130.

Step3: Analyze each option

• Option A: The x - axis range of - 100 to 100 doesn't cover all x - values (125 is not in this range).
• Option B: The y - axis range of - 30 to 30 doesn't cover all y - values (- 120 and 130 are not in this range).
• Option C: The x - axis range of - 200 to 200 covers all x - values (- 37.5, 50, 75, 125) and the y - axis range of - 200 to 200 covers all y - values (- 120, 10, 15, 25, 130). The scale of 25 is reasonable for these ranges.
• Option D: The x - axis range of - 10 to 10 doesn't cover any of the x - values (125, 50, - 37.5, 75).

Answer:

C. Both the x - and y - axes should extend from - 200 to 200 with a scale of 25.