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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?​

Sagot :

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Answer:

Field

Field is eroding 4 times faster than the mountain.

Step-by-step explanation:

[tex]y[/tex] = The amount of erosion in millimeters

[tex]x[/tex] = Number of years passed

[tex]y=0.5x\\\Rightarrow \dfrac{y}{x}=0.5[/tex]

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.

[tex]\dfrac{m_f}{m_m}=\dfrac{2}{0.5}\\\Rightarrow m_f=4m_m[/tex]

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

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