Question

I am not really understanding the first two questions.

Answer 1

1. Table 4 values shows a Linear function.

2. 6 seconds faster were the runner in Group 2 than runners in Group 1.

What are Linear Function?

Linear function are those which are in the form of f(x) = x ( here the line is passing through the origin )

Also Linear function can be in the form of y = mx + c where 'm' is the slope of the given line and 'c' is constant.

1. In the table 4 we conclude that:

y = f(x)

f(2) = 4         -------- point is ( 2, 4)

f(4) = 6         -------- point is ( 4, 6)

f(6) = 8         -------- point is ( 6, 8)

f(8) = 10        -------- point is ( 8, 10)

for the points to be in a line their slope must be equal:

Slope of line from point (2, 4) and (4, 6):

Slope = ( y2 - y1 )/ (x2 - x1)

Slope = ( 6 - 4 )/(4-2)

Slope = 2/2 = 1

Similarly,

Slope of line from point (4, 6) and (6, 8):

Slope = ( 8- 6 )/(6-4)

Slope = 1

Same as for points (6, 8) and (8,10)

Slope = 1

here the slop of the all points are same, so they lie on a single line and forms a linear equation in form of y = mx + c.

Hence, Table 4 values shows a Linear function.

2.  Here we have given the data:

For group 1: 55 68 64 66 70

For group 2: 56 58 59 61 57

Average or Geometric mean :

Sum of all the observation / number of observation

Average for Group 1 = ( 55 + 68 +64 +66 + 70)/5

Average for Group 1 = 64.6

Average for Group 2 = (56 + 58 + 59 + 61 +  57)/5

Average for Group 2 = 58.2

Difference between the Average of group 1 and group 2: 6.4.

in whole number 6 seconds.

Hence,

6 seconds faster were the runner in Group 2 than the runners in Group 1.

Learn more about " Arithmetic Mean " from here: brainly.com/question/15196910

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