Question

the values will be graphed on the given coordinate plane. which is the most appropriate choice of origin and scale for this graph? a. x - axis scale: 1 unit = 1 week y - axis scale: 1 unit = 50 minutes origin: (2 weeks, 300 minutes) b. x - axis scale: 1 unit = 1 week y - axis scale: 1 unit = 150 minutes origin: (0 weeks, 0 minutes) c. x - axis scale: 1 unit = 2 weeks y - axis scale: 1 unit = 50 minutes origin: (0 weeks, 0 minutes) d. x - axis scale: 1 unit = 2 weeks y - axis scale: 1 unit = 150 minutes origin: (2 weeks, 300 minutes)

Explanation:

Step1: Analyze x - axis values

The x - axis represents weeks. The given x - values are likely to be within a reasonable range. Since the values seem to be discrete weeks, a scale of 1 unit = 1 week or 1 unit = 2 weeks can be considered. But having 1 unit = 1 week gives a more detailed graph for possible intermediate values. Also, starting from 0 weeks as the origin makes sense as it is a natural starting point for time - related data.

Step2: Analyze y - axis values

The y - axis represents minutes. The values are 1000 and 1200. If we choose 1 unit = 50 minutes, we will have a large number of grid lines and the graph may look cluttered. A scale of 1 unit = 150 minutes is more appropriate as 1000/150≈6.67 and 1200/150 = 8, which will fit well on the graph. Starting the y - axis from 0 minutes is a natural origin for a quantity like minutes.

Answer:

B. x - axis scale: 1 unit = 1 week
y - axis scale: 1 unit = 150 minutes
origin: (0 weeks, 0 minutes)