Question

A section of a railway has a slope of approximately 0.46. In this section, a vertical change of 1 unit corresponds to a horizontal change of what length? Round your answer to the nearest hundredth.

Answer 1

To find the horizontal change corresponding to a vertical change of 1 unit on a line with a slope of 0.46, you can set up and solve the equation 0.46 = 1/x. The horizontal change is approximately 2.17 units.

Step-by-step explanation:

The slope of a line is calculated by finding the change in the vertical variable divided by the change in the horizontal variable. In this case, the slope is approximately 0.46. To find the horizontal change corresponding to a vertical change of 1 unit, we can set up the following equation: 0.46 = 1/x

Cross multiplying, we get:x = 1/0.46

Rounding to the nearest hundredth, the horizontal change is approximately 2.17 units.

Answer 2

The slope is the vertical change per 1 unit of horizontal change so:
v = vert cahnge
h = hor change

slope = v / h
.46 = 1 / h

so solve that equation for h and that's your answer