Question

Please help me

The rate at which a mountain is eroding is given by y=0.5x, where y represents the amount of erosion in millimeters and x represents the amount of time in years. A field is eroding at a rate of 2 millimeters per year. Is the field or the mountain eroding at a faster rate? By how much?​

Answer 1

Field

Field is eroding 4 times faster than the mountain.

Explanation:

`y` = The amount of erosion in millimeters

`x` = Number of years passed

`y=0.5x\\\Rightarrow (y)/(x)=0.5`

The rate at which soil is eroding in the mountain is 0.5 millimeters per year.

The rate at which the field is eroding is 2 millimeters per year.

The field is eroding faster than the mountain.

`(m_f)/(m_m)=(2)/(0.5)\\\Rightarrow m_f=4m_m`

So the field is eroding 4 times faster than the mountain.