Question
The following situation can be modeled by a linear function. Make an equation for the linear function and use it to answer the given question.
The following situation can be modeled by a linear function. Make an equation for the linear function and use it to answer the given question. Be sure you clearly identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described.
A snowplow has a maximum speed of 50 miles per hour on a dry highway. Its maximum speed decreases by 0.8 miles per hour for every inch of snow on the highway. According to thismodel, at what snow depth will the plow be unable tomove?(Simplify youranswer.) The answer for A is completed and as followed.
A. The independent variable is the depth of snow(d), ininches, and the dependent variable is speed(s), in miles per hour. The linear function that models this situation is : dependent variable=initial value+(rate of change x independent variable)
s=50-(0.8xd)
B. The independent variable is speed(s), in miles perhour, and the dependent variable is the depth of snow(d), in inches. The linear function that models this situation is d=______. The snowplow will be unable to move when the snow is _______ inch(es) deep. (Round to the nearest inch asneeded.)
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