The line plot shows the weights of packages of meat purchased at a supermarket. Which of the following conclusions about the line plot are true? Select all that apply.
A line plot named
A.
The difference between the greatest and least weights of the packages is
1
2
pound.
B.
1
4
of the packages weigh
5
8
pound.
C.
6
different packages of meat were purchased in total, each package with a different weight.
D.
The number of packages that weigh
1
1
8
pounds is
3
times the number that weigh
3
4
pound.
E.
All of the packages weigh more than
1
2
pound.
B, D.
ty
You're welcome!
To analyze the line plot and determine which conclusions are true, we need to carefully observe the plot. Here's how you can analyze and find the answers:
A. To determine the difference between the greatest and least weights of the packages, look for the highest and lowest points on the line plot. The vertical axis represents the weights, so find the highest and lowest points on the plot. Calculate the difference between these points to see if it is equal to 1/2 pound.
B. To determine if 1/4 of the packages weigh 5/8 pound, count the number of packages represented on the line plot. Then, check how many of those packages have a weight of 5/8 pound. Calculate 1/4 of the total number of packages and see if it matches the number of packages weighing 5/8 pound.
C. To determine if there were six different packages of meat purchased with different weights, count the distinct symbols or points on the line plot. Each symbol represents a different package. If there are six distinct symbols, then each package has a different weight.
D. To determine if the number of packages weighing 1/8 pound is three times the number of packages weighing 3/4 pound, count the number of packages represented on the line plot for each weight. Then, calculate if the former is three times the latter.
E. To determine if all the packages weigh more than 1/2 pound, check if any package on the line plot has a weight less than or equal to 1/2 pound. If all packages on the line plot are above the line representing 1/2 pound, then the statement is true.
By following these steps, you can determine which conclusions are true based on the line plot.