Write the equations of any two lines parallel to the red line. y=2x+5
1 answer:
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Function 2 has greater rate of change
Step-by-step explanation:
In order to find the rate of change we have to covert the given linear functions in slope-intercept form
<u>Function 1:</u>
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Adding 2x on both sides
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Dividing both sides by 5
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Let m1 be rate of change of function 1:
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<u>Function 2:</u>
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Adding 6x on both sides
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Dividing both sides by 3
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Let m2 be the slope of function 2
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As we can see that
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Function 2 has greater rate of change
Keywords: Linear functions, slope
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Let the oranges cost = x
Let the apples cost = y
According to given conditions, equation becomes:
.... (1)
.....(2)
Multiplying equation (1) by 8 and equation (2) by 12 to get y
96x+48y=43.04 .... (3)
96x+60y=44.16 .... (4)
Now subtracting both equations we get,
12y = 1.12
y = 0.093
Hence, cost of 1 apple = $0.093
As 12x+6y=5.38
12x+6(0.093)=5.38
12x=4.822
x = 0.40
Hence, cost of 1 orange = $0.40