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Given that a<span>
computer manufacturer built a new facility for assembling computers where they paid for construction and new equipment costs. This means that at the start of business by the company, the company has a negative profit.
Given that the company made combined profits of $10 million after 4 years, this means that the graph of the comany's profit against number of years will pass though point (4, 10 million)
Given that profits increased $7.5 million per year, this means that the slope of the graph of </span><span>the comany's profit against number of years is $7.5 million.
The equation of a line passing though point
with slope, m is given by
Thus given that the line passes through point (4, 10 million) and has a slope of 7.5 million, the equation of the line is given by
At the y-intercept, i.e. when x = 0: y = 7,500,000(0) - 20,000,000 = 0 - 20,000,000 = -20,000,000
Thus the y-intercept is negative 20 million.
At the x-intercept, i.e. when y = 0: 0 = 7,500,000x - 20,000,000
7,500,000x = 20,000,000
x = 20,000,000 / 7,500,000 ≈ 2.7
Thus the x-intercept is approximately 2.7
Therefore, </span>the correct graph of this function is <span>a graph of a line that has a y-intercept that is approximately negative $20 million and an x-intercept that is approximately 2.7 years.</span>
Given that the company made combined profits of $10 million after 4 years, this means that the graph of the comany's profit against number of years will pass though point (4, 10 million)
Given that profits increased $7.5 million per year, this means that the slope of the graph of </span><span>the comany's profit against number of years is $7.5 million.
The equation of a line passing though point
Thus given that the line passes through point (4, 10 million) and has a slope of 7.5 million, the equation of the line is given by
At the y-intercept, i.e. when x = 0: y = 7,500,000(0) - 20,000,000 = 0 - 20,000,000 = -20,000,000
Thus the y-intercept is negative 20 million.
At the x-intercept, i.e. when y = 0: 0 = 7,500,000x - 20,000,000
7,500,000x = 20,000,000
x = 20,000,000 / 7,500,000 ≈ 2.7
Thus the x-intercept is approximately 2.7
Therefore, </span>the correct graph of this function is <span>a graph of a line that has a y-intercept that is approximately negative $20 million and an x-intercept that is approximately 2.7 years.</span>