Question

for parts a and b answer the following questions.
a. in a science experiment, the amount of water displaced in a graduated cylinder is a function of the number of marbles placed in the cylinder. the results of the experiment are recorded in the following table.

number of marbles, n	1	2	3	4	5
volume of water displaced, v (ml)	20	40	60	80	100

b. forensic anthropologists predict the height of a male based on the length of his femur. the following table demonstrates this functional relationship.

length of femur, l (inches)	8	10	12	14	16
height, h (inches)	43	47	51	55	59

a. plot the ordered pairs. choose the correct graph below
oa.
ob.
oc.
od.

Explanation:

Step1: Identify ordered - pairs for part a

For the water - displacement experiment, the ordered pairs are \((1,20),(2,40),(3,60),(4,80),(5,100)\).

Step2: Analyze the pattern of points

The \(x\) - values (number of marbles \(n\)) increase by 1 and the \(y\) - values (volume of water displaced \(v\)) increase by 20. The points should lie on a straight line passing through the origin (since when \(n = 0\), \(v=0\) in theory) and have a positive slope.

Step3: Check the graphs

Graph A has points that follow the pattern of our ordered pairs with a straight - line relationship and a positive slope starting from the origin.

Answer:

A.