Which of these scatter plots has a trend line that would lie closest to y=x?

a. scatter plot a
b. scatter plot b
c. scatter plot c
d. scatter plot d

Step-by-step explanation:

We need to find the scatter plot that is closest to y = x.

First of all, you must know the behaviour of y = x. That equation represents a straight line that passes through the origin of the coordinate system.

So, the right scatter plot must have the majority of points on this line that passes through the origin.

Notice that the Scatter plot A has this beahivour, if you draw a straight line through the origin and the points, you'll observe that the line best fits.

On the other hand, the other scatter plots are not following this linear behaviour.

Therefore, the right answer is A.

The function to represent the increasing number of rabbits per yer is

Solution:

The number of rabbits released each year is 8.

During 0 year, there will be 8 rabbits;

During year 1, the number of rabbits will be (or)

Similarly, during the year 2, the number of rabbits will be or

So, according to the pattern we can conclude that the function would be  

where x is the number of years.

On year 4, the total number of rabbits will be = 128