Question

A snowbank that is 6 inches deep is melting at a rate of 0.5 inch per hour. Write a linear function to model the scenario and identify the domain and range of the function.

Answer 1

y = -0.5x + 6, Domain [0,12] and Range [0, 6]

Explanation:

The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.

Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.

Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.

Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]

Hope this helped!