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an electric bicycle manufacturer produces 6 000 units when the market price is us 2 350 while if the market price is us 1

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An electric bicycle manufacturer produces 6,000 units when the market price is US$2,350, while if the market price is US$1,750 it produces 4,200 units. The linear function that represents this situation is

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Answer to a math question An electric bicycle manufacturer produces 6,000 units when the market price is US$2,350, while if the market price is US$1,750 it produces 4,200 units. The linear function that represents this situation is

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88 Answers

To find the linear function that represents this situation, we need to determine the slope of the line using the two given data points.

Let:
-

x_1 = 2350

(market price of US$2,350)
-

y_1 = 6000

(number of units produced when market price is US$2,350)
-

x_2 = 1750

(market price of US$1,750)
-

y_2 = 4200

(number of units produced when market price is US$1,750)

The slope of the line can be calculated as:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

Substitute the given values into the formula:

m = \dfrac{4200 - 6000}{1750 - 2350} = \dfrac{-1800}{-600} = 3

Now that we have the slope, we can use the point-slope form of a linear equation to write the equation of the line:

y - y_1 = m(x - x_1)

Substitute one of the points and the slope into the equation:

y - 6000 = 3(x - 2350)

y - 6000 = 3x - 7050

y = 3x - 1050

Therefore, the linear function that represents this situation is y =3x-1050

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