Question 1110592
driving down a mountain road, you notice warning signs indicating that it is a "12% grade". this means that the slope of the road is -12/100. Approximate the amount of horizontal change in your position if you note from elevation markers that you descended 2000 feet vertically. (Write equation and grap)
:
using the slope intercept form of equation: y = mx + b
slope (m) = -12/100 or -.12; y intercept (b) will be 2000 ft
x is the horizontal position, y is the elevation
y = -.12x + 2000
graphically
{{{ graph( 300, 200, -5000, 20000, -1000, 3000, -.12x+2000) }}}
When you have descended 2000 ft, the x intercept will be the horizontal dist in feet
We can solve for x when y = 0;
-.12x + 2000 = 0
-.12x = -2000
x = -2000/-.12
x = 16,667 ft or 3.157 mi