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Answer :
Final answer:
To create a linear equation estimating apartment rent based on area, use two data points to find the slope and then derive the equation in slope-intercept form, which in this case is y = 2.46x - 27.94.
Explanation:
The student is asking for assistance in writing a linear equation to estimate the rent of an apartment based on its area. To derive this equation, we'll use two points representing the smallest and largest apartment areas and their respective rents. Point A has coordinates (389, 930) for the smallest apartment, and point B has coordinates (812, 1970) for the largest one.
To find the slope (m) of the line, we use the formula m = (y2 - y1) / (x2 - x1), which gives us:
m = (1970 - 930) / (812 - 389)
= 1040 / 423 ≈ 2.46
Now we can use the slope and one of the points to write the equation in point-slope form, y - y1 = m(x - x1), and then convert it to slope-intercept form, y = mx + b:
y - 930 = 2.46(x - 389)
y = 2.46x - 957.94 + 930
y = 2.46x - 27.94
So, the linear equation to estimate the rent (y) based on the area (x) is y = 2.46x - 27.94.
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Rewritten by : Barada
