Which graph represents the proportional relationship given by the rule "y is 3 times the value of x"? Please answer fast less than 5 min

The fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

Step-by-step explanation:

Given the rule

''y is 3 times the value of x".

It means

y = 3x

comparing with the slope-intercept form of the line equation

y = mx+b

where y is the slope and b is the intercept

so,

The slope of y = 3x will be: m = 3

The y-intercept of  y = 3x will be: b = 0

CHECKING THE 4TH GRAPH (THE RIGHT BOTTOM SIDE)

Taking two points

(0, 0)

(2, 6)

Finding the slope between (0, 0) and (2, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                =  [6 - 0] / [2 - 0]

                = 6 / 2

               = 3

Thus, the slope of the line = m = 3

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = 3 and b = 0 in the slope-intercept form of linear function

y = mx+b

y = 3x+0

y = 3x

Therefore, the fourth graph i.e. RIGHT BOTTOM GRAPH is correct which represents the proportional relationship given by the rule y = 3x.

Also, the correct graph is attached below.

c

step-by-step explanation:

it isn't d, because the interquartile range is from 27-57. and the interquartile range is basically half the data, it's pretty obvious.

it isn't b, because like i said earlier, the interquartile range is from 27-57. 57-27 is 30. the real range has to be longer

not a either. although it looks like it, 3/4 of the data is not greater than 27. but if c is wrong than this should be correct

the correct answer is c, because 13 is the point in which the plot starts

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.