Answer:
The point of intersection is (3,1)
Step-by-step explanation:
Manipulate these equations to achieve the form of y = mx + c
1) y + 5 = 2x
Y = 2x - 5
2) y = 7 - 2x
Y = -2x + 7
Point of intersection is (3,1) on the graph attached
To check algebraically:
2x - 5 = -2x + 7
4x = 12
X = 3
Substitute to get y
Y = 2x - 5
Y = 2 x 3 - 5
Y = 1
Therefore (3,1)
750 bikes would be sold for $350
Let x represent the number of bikes sold per month and y represent the price.
550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)
A linear function is represented by:
y = mx + b
m is the slope, b is the y intercept.
Therefore the function is:
The number of bikes sold for $350 is:
350 = (1/2)x - 25
x = 750
Therefore 750 bikes would be sold for $350
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