Maya and sally were the two finalists in a singing competition. the person with the most votes from the audience was chosen as the winner. sally received 25% of the total votes and lost by 62,500 votes. no person in the audience was allowed to vote more than once. the equation below represents this situation, where y is the total number of votes cast and x is the number of votes maya received:

x − 62,500 = 0.25y

if a total of 125,000 people voted, how many votes did maya receive?

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

215.92 dollars is the answer