Answer:
Here is the summary:
- y = 13x+5 satisfies the points (0, 5) and (-2, -21)
- y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)
- y = x-10 satisfies the points (8, -2)
Step-by-step explanation:
Given the equation
The points which satisfy the equation y=13x+5
y = 13x+5
Checking the point (0, 5)
5 = 13(0)+5
5 = 0 + 5
5 = 5
TRUE
Checking the point (-2, -21)
-21 = 13(-2)+5
-21 = -26 + 5
-21 = -21
TRUE
The points which satisfy the equation y=-3x
y = -3x
Checking the point (0, 0)
0 = -3(0)
0 = 0
TRUE
Checking the point (-5, -15)
y = -3x
-15 = -3(-5)
-15 = -15
TRUE
Checking the point (-3, 9)
y = -3x
9 = -3(-3)
9 = 9
TRUE
The points which satisfy the equation y=x-10
y = x-10
Checking (8, -2)
-2 = 8 - 10
-2 = -2
TRUE
Therefore, from the above calculations we conclude the summary:
Here is the summary:
- y = 13x+5 satisfies the points (0, 5) and (-2, -21)
- y = -3x satisfies the points (0, 0), (-5, -15) and (-3, 9)
- y = x-10 satisfies the points (8, -2)
So if 3/4 of the seats are filled, there are a few methods we can use.
The simplest method:
Just multiply 3/4 by 500, to get 1500/4, or 375.
So 375 seats are filled.
A method that can be used with harder problems and will be more efficient in those cases:
Using proportions.
You could say,
?/500 = 3/4
And then cross multiply,
500 * 3 = 4 * x (say the ? = x)
1500 = 4x
/4 /4
x = 375
So either way we get the answer, 375 seats were filled.
