I'm assuming you need to find the equation of that line. If that's not what you need, you can stop here, because that's what I'm going to calculate.
When we're working with the equation of a line, we know it's easy to work with if it's in the form of a "slope / intercept" equation.
That's Y = (slope) · x + (y-axis intercept)
We already know the slope of this line, because the question gave it to us. The slope is ' 8 ' . So we know the equation will be Y = 8x + (y-intercept) .
OK. We also know a point on the line ... (4, 3).
That tells us: When x=4 on this line, y=3 .
Take the equation, and put this point into it.
Y = 8x + (y-intercept)
(3) = 8(4) + y-intercept
3 = 32 + y-intercept
Subtract 32 from each side:
-29 = y-intercept
So the equation of the line is: <em>Y = 8x - 29</em>
Subtract 12 from both sides
4(2x + 2) > 100 - 12
Simplify 100 - 12 to 88
4(2x + 2) > 88
Divide both sides by 4
2x + 2 > 88/4
Simplify 88/4 to 22
2x + 2 > 22
Subtract 2 from both sides
2x > 22 - 2
Simplify 22 - 2 to 20
2x > 20
Divide both sides by 2
x > 20/2
Simplify 20/2 to 10
<u>x > 10</u>
Candidate X won 63 out of the 100 "votes" of the poll participants.
So candidate X won 63% of the votes in the poll.
This means that candidate X is expected to win the elections by a percentage close to 63%.
63% of the voters is (63/100)*5000=63*50=3150 voters
Answer: 3150
X = 12, because there is only one answer that has a number bigger than 9 :)
