Question

The rate of change in the number of miles of road cleared per hour by a snowplow is inversely proportional to the depth of the snow. Given that 24 miles per hour are cleared when the depth of the snow is 2.2 inches and 13 miles per hour are cleared when the depth of the snow is 7 inches, then how many miles of road will be cleared each hour when the depth of the snow is 12 inches? (Round your answer to three decimal places.)

Answer 1

m = miles
d = depth of snow

m*d = k

So, you want m such that

m*12 = 24*2.2 = 13*7

Now you have a problem, since 24*2.2 is not equal to 13*7. Maybe your calculation should be based on some average of the two...