Question

the data in the following table can be used to predict the number of drinks required for a person of a specified weight to be considered legally intoxicated. use the data in the table to draw a graph and to estimate the number of drinks that a 140-lb person would consume in order to be considered intoxicated. then predict the number of drinks a 240-lb person would consume (the small-sized drink of any alcoholic beverage is considered to be one drink). choose the correct graph below. let the horizontal axis represent the weight of the person in pounds and the vertical axis represent the number of drinks. table: input, body weight (in pounds): 120, 160, 180, 220; output, number of drinks: 3, 4, 4.5, 5.5

Explanation:

Step1: Analyze the data trend

The table shows body weight (input) and number of drinks (output). As body weight increases (from 120 to 220 pounds), the number of drinks also increases (from 3 to 5.5). So the relationship should be a positive trend, with weight on the horizontal axis and drinks on the vertical axis.

Step2: Evaluate each graph

• Graph A: Shows a negative trend (as weight increases, drinks decrease) – incorrect.
• Graph B: Has a non - linear, zig - zag pattern – doesn't match the positive linear trend from the data – incorrect.
• Graph C: Has a decreasing then increasing or irregular pattern – incorrect.
• Graph D: Shows a positive trend (as weight on the horizontal axis increases, the number of drinks on the vertical axis increases), which matches the data trend.

Answer:

D