Answer:
- <u>He should graph the functions f(x) = 4x and g(x) = 26 in the same coordinate plane. The x-coordinate of the intersection point of the two graphs is the solution of the equation.</u>
Explanation:
<em>To solve the equation 4x = 26</em> using graphs, he should graph two functions in the same coordinate plane. The intersection of the two graphs is the solution of the equation.
The functions to graph are f(x) = 4x, and g(x) = 26.
The graph of f(x) = 4x is a line that goes through the origin (0,0) and has slope 4.
Some of the points to graph that line are:
<u>x f(x) = 4x </u>
0 4(0) = 0 → (0,0)
2 4(2) = 8 → (2,8)
4 4(4) = 16 → (4,16)
6 4(6) = 24 → (4, 24)
With those points you can do an excellent graph of f(x) = 4x
The graph of g(x) = 26 is horizontal line (parallel to the y-axis) that passes through the point (0, 26), which is the y -intercept.
You have to extend both graphs until they intersect each other. The x-coordinate of the intersection point is the solution of the function.
The four walls will be four rectangles.
The roof will be two rectangles.
The ends holding up the roof will be two triangles.
The 2nd selection is appropriate (areas of 6 rectangles + 2 triangles).
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Yes, you're trying to find the volume of paint, but paint is sold in terms of the number of square feet (area) it covers. Rarely do we concern ourselves with computing paint volume from the thickness of the film covering the area. Certainly, the volume of paint is substantially less than the volume of the walls or the entire garage.
