Plz help me.

Please check the explanation.

Step-by-step explanation:

Question 1)

Input, x                            Output, y

0                                       0

1                                         4

2                                        8

3                                       12

It is clear that the values of input 'x' and output 'y' are changing in constant proportions. It means the rate of change must be constant. Thus, this represents a linear function.

Finding the slope between (0, 0) and (1, 2)

slope = m = y₂-y₁ / x₂-x₁

                 = (2-0) / (1-0)

                  = 2 / 1

                  = 2

Thus, the slope = m = 2

We know that the y-intercept can be obtained by setting x = 0 and solving for y.

It is clear at x = 0, y = 0

Thus, the y-intercept b = 0

We know that the slope-intercept form of linear equation

y = mx+b

substitute m = 2 and b = 0

y = 2x + 0

y = 2x

Thus, the equation that describes the equation is:

y = 2x

Question 2)

The output is eleven more than the input.

As 'y' represents the output.

'x' represents the input.

so

y = x+11

Question 3)

The output is the cube of the input.

As 'y' represents the output.

'x' represents the input.

so

y = x³

Question 4)

The output is one more than twice the input.

As 'y' represents the output.

'x' represents the input.

so

y = 2x+1

Question 5)

y = 7x

substitute x = -5

y = 7(-5)

y = -35

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value