Question

which is the scatter plot for the data set (1960, 3), (1970, 3.5), (1980, 5), (1990, 6)?

Explanation:

Step1: Analyze the data points

The data points are (1960, 3), (1970, 3.5), (1980, 5), (1990, 6). So the x - axis represents years (1960, 1970, 1980, 1990) and the y - axis represents the function values (3, 3.5, 5, 6).

Step2: Check the axes of each graph

• For graph A: The x - axis is years (1960, 1970, 1980, 1990) and y - axis has values. Let's check the points. For x = 1960, y should be 3; x = 1970, y = 3.5; x = 1980, y = 5; x = 1990, y = 6. The points in graph A seem to match the y - values increasing with x (years) as per the data.
• For graph B: The x - axis is years but the y - axis starts from 0 and the points are placed with x as years and y as the values, but the order of x - axis (1960, 1970, 1980, 1990) is correct but the y - values for the points do not match. For example, the first point in B has y around 3 (for 1960) but the next point for 1970 has y less than 4, but our data has (1970, 3.5) which is between 3 and 4, but the third point for 1980 in B has y around 5 and 1990 has y around 6, but the first two points' y - values do not match the data's (1960, 3) and (1970, 3.5) as well as graph A.
• For graph C: The x - axis is years but the y - axis points are decreasing as x (years) increase, which is opposite to our data (y - values increase with x).
• For graph D: The y - axis scale is different (up to 8) and the points' y - values do not match the data.
• For graph E: The x - axis is reversed (1990, 1980, 1970, 1960) which is incorrect as our x - values are in increasing order of years.

Answer:

A