The answer to the equation is x = - 3
2x - 3 = 5x + 6
- 2x - 2x
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- 3 = 3x + 6
- 6 - 6
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- 9 = 3x
---- ----
3 3
- 3 = x
What I did was I subtracted 4500 minus 500 because it was a fee then I divide 4400 by 35 and I got 125 people.
(0,-2)(- 2,1)....I found 2 whole number sets of points
slope = (y2 - y1) / (x2 - x1)
(0,-2)....x1 = 0 and y1 = -2
(-2,1)...x2 = -2 and y2 = 1
now we sub
slope = (1 - (-2) / (-2 - 0) = (1 + 2) / -2 = -3/2...this is ur slope
the y intercept is where the line cross the y axis...and it is -2 or (0,-2)...this is one way to find it....there is another way that I will show u later in the problem
y = mx + b
slope(m) = -3/2
u can use either of ur points (-2,1)...x = -2 and y = 1
now sub and find b, the y intercept
1 = -3/2(-2) + b
1 = 3 + b
1 - 3 = b
-2 = b .......this is the other way to find the y int.
so ur equation is : y = -3/2x - 2.....and in y = mx + b form, the slope is in the m position and the y int is in the b position
to find the x intercept, take ur equation, sub in 0 for y and solve for x...or u could look at ur graph and see where the line crosses the x axis...but in this problem that would not be easy because it is not a whole number
y = -3/2x - 2
0 = -3/2x - 2
3/2x = -2
x = -2 / (3/2)
x = -2 * 2/3
x = -4/3 or (-4/3,0)
u could also find the y int by subbing in 0 for x and solving for y
Answer:
Option A
Step-by-step explanation: