The line plots shows the weights of 9 grapefruits. what is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? a) [tex]rac{1}{4}[/tex] lb b) 2 lb c) [tex]4rac{1}{2}[/tex] lb d) 7 lb answer asap i am giving 30 points and brainliest get it right you get it all this is very !

Mathematics, 25.06.2019 22:00, Joeyoman

The line plots shows the weights of 9 grapefruits. what is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? a) $\frac{1}{4}$ lb b) 2 lb c) $4\frac{1}{2}$ lb d) 7 lb answer asap i am giving 30 points and brainliest get it right you get it all this is very !

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answered: filthyfish

B) 2lb

Step-by-step explanation:

First, you must convert from mixed numbers to fractions, as following

$1^{\frac{1}{2}}$ $lb=\frac{(1*2)+1}{2}=\frac{3}{2}lb$

$1^{\frac{1}{4}}$ $lb=\frac{(1*4)+1}{4}=\frac{5}{4}lb$

Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.

In this case, the different weights of the grapefruit constitute the classes. From a sample of 9 grapefruit, some will weigh $1\frac{1}{2}$ others weigh $1\frac{1}{4}$ , etc.

We need to observe the dot diagram to know how many $1\frac{1}{2}$ grapefruit we have and how many $1\frac{1}{4}$ grapefruit we have. In other words, we need to know, in the diagram, how many points there are about class $1\frac{1}{2}$ and how many points there are about class $1\frac{1}{4}$

Then, the total difference between all grapefruit of $1\frac{1}{2}$ pounds and all grapefruit of $1\frac{1}{4}$ pounds is calculated as follows:

n ( $1\frac{1}{2}$ ) - m ( $1\frac{1}{4}$ ) = W

Where

W: Weight difference

n: Quantity of $1\frac{1}{2}$ grapefruit

m: Quantity of grapefruit of $1\frac{1}{4}$

Suppose that of the 9 total grapefruits, 3 of them weigh $1\frac{1}{2}$ pounds and 2 of them weigh $1\frac{1}{4}$ pounds. This is: n = 3 and m = 2

$3(\frac{3}{2}) - 2(\frac{5}{4}) = 2$

The difference in weight would be 2 pounds.

answered: Guest

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.