A snowplow has a maximum speed of 55 miles per hour on a dry highway. Its maximum speed decreases by 1.61.6 miles per hour for every inch of snow on the highway. According to this model, at what snow depth will the plow be unable to move?

Based on the information provided in the exercise, you know tha the maximum spped of the snowplow is 55 miles per hour and this decreases 1.6 miles per hour for every inch of snow on the highway.

You can identify that the snowplow's speed depends on the snow depth, so you can write the following linear equation to represent this situation:

[tex]y=55-1.6x[/tex]

Based on this, you can say that the plow will be unable to move when its speed is zero.

Then, you must substitute [tex]y=0[/tex] into the equation and solve for "x" in order to find at what snow depth (in inches) the plow will be unable to move:

[tex]0=55-1.6x\\\\\frac{-55}{-1.6}=x\\\\x=34.375[/tex]

A snowplow has a maximum speed of 55 miles per hour on a dry highway. Its maximum speed decreases by 1.61.6 miles per hour for every inch of snow on the highway. According to this​ model, at what snow depth will the plow be unable to​ move?

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A snowplow has a maximum speed of 55 miles per hour on a dry highway. Its maximum speed decreases by 1.61.6 miles per hour for every inch of snow on the highway. According to this model, at what snow depth will the plow be unable to move?