Vivenne, john and nassim ran for 6th grade class president. vivenne got four votes for every 3 votes that john got. nassim got two votes for every vote that vivenne got. what percentage of the votes did john get overall?

Percentage of the votes did John got overall is 25 %

Solution:

Given, Vivenne, John and nassim ran for 6th grade class president.  

Vivenne got four votes for every 3 votes that John got.  

Nassim got two votes for every vote that Vivenne got.  

Now, ratio of vivenne votes to john votes = 4 : 3

a : b can be written in fraction as

Now, ratio of nassim votes to vivenne votes = 2 : 1

Now, multiply the above two fractions,

Now, add (1) and (3),

We know that total votes = vivenne votes+nassim votes+john votes

Hence substitute "vivenne votes+nassim votes = total votes -  john votes "

Hence we get,

Multiplying 100 on both sides,

The above expression is the formula used to calculate John vote percentage

Hence John votes percentage = 25%

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.