The mean of the values in a data set is a. if each of the values in the data set
were multiplied by 7, what would be the mean of the resulting data?
a. 7a
b. 6a
c. a
d. 8a

Option A. 7a

Step-by-step explanation:

we know that

The mean of the data values is equal to the sum of the data values divided by the number of data values

Let

x ----> the sum of the data values

n ---> the number of data values

y ----> the mean of the data values

so

we have that

so

If each of the values in the data set  were multiplied by 7

we would have

The new mean is equal to

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.