The following graph shows the relationship established by a car dealership between the sale price of a particular car model and the age of the car. y=?

y=-2,500x+19,000

Step-by-step explanation:

To write the equation, use y=mx+b. Look at the graph and identify m and b. b is the y-intercept and where the line crosses on the y-axis. Here it is 19,000.

To find the slope m, count the units from one point to another on the line. Identify the points on the line that go through grid line intersections. Count up/down then count right to form the ratio.

From point (0,19,000) to (2, 14,000). These points are -5,000 vertically and 2 horizontally. It forms the ratio -5,000/2 = -2,500. This is m.

So y=-2,500x+19,000

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

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