Which is the graph of y = 2.5x? A. B. C. D.
1 answer:
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It takes 6 days for both of them to have same number of followers
<em><u>Solution:</u></em>
Let "x" be the number of days
<h3><u>Case 1:</u></h3><em><u>Celebrity A has 400 followers on social media and is gaining 75 followers each day</u></em>
We can frame a equation as:
Celebrity A : 400 + 75(number of days)
Celebrity A : 400 + 75x --------- eqn 1
<h3><u>Case 2:</u></h3><em><u>Celebrity B has 1,000 followers on social media, but is losing 25 followers a day</u></em>
We can frame a equation as:
Celebrity B : 1000 - 25(number of days)
Here we use negative sign to denote losing of followers
Celebrity B : 1000 - 25x --------- eqn 2
For both of them to have same number of followers, eqn 1 must be equal to eqn 2
Thus it takes 6 days for both of them to have same number of followers
Answer:
Scatter plot attached below.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.
In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
The scatter plot for the correlation between x and y closest to −1 is attached below.
You want to prove
By the definition of the limit, this means that for any , we can find
such that
.
In order to get the inequality we want, we need to have
so we can pick .
So here's the proof: Let be given, and let
. Then
as required.