What is the constant of proportionality of y to x?
2 answers:
Answer: k=2.5
Step-by-step explanation:
1. As you can see in the graph, when x increases, y also increases at the same rate, therefore, it is a direct proportion that has the following form
2. Choose one of the points shown in the graph, substitute it into the expression and solve for k, which is the constant of proportionality, as following:
<u>Answer:</u>
2.5
<u>Step-by-step explanation:</u>
We are given a graph with a positive slope where the value of y increases when the value of x increases.
For the given graph, we are to find the constant of proportionality of y to x which is the slope of the given line.
We know the formula of the slope =
Substituting the given values in the formula:
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<h3>Answer: B. Graph is nearly symmetrical</h3>
Explanation:
Given information:
- A number line going from 2 to 11.
- 0 dots are above 2.
- 0 dots are above 3.
- 1 dot is above 4.
- 2 dots are above 5.
- 4 dots are above 6.
- 4 dots are above 7.
- 3 dots are above 8.
- 2 dots are above 9.
- 2 dots are above 10.
- 0 dots are above 11.
From that we can see the data set is {4,5,5,6,6,6,6,7,7,7,7,8,8,8,9,9,10,10} which produces the dot plot you see in the image attachment below.
It's a bit tricky to see, but the graph is nearly symmetrical. If we were to remove the blue points in the dot plot I provided, then we'll get a perfectly symmetrical distribution. Symmetrical means one half is a mirror copy of the the other half. The center line of a symmetrical distribution is both the mean and median.