Question

We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5hd, equals, 5, h. How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard? How many centimeters of snow accumulate per hour?

Answer 1

a) 0.2 h

b) 5 cm

Explanation:

The given equation is:

`d = 5h` (1)

Where:

d: is the depth in centimeters

h: is the time in hours

a) The hours that takes for 1 cm of snow to accumulate in Harper's yard can be found by solving equation (1) for h and by entering d = 1 cm into the equation:

`h = (d)/(5) = (1)/(5) = 0.2 h`

Hence, it takes 0.2 hours for 1 centimeter of snow to accumulate in Harper's yard.

b) The depth in centimeters of snow accumulate per hour is:

`d = 5h = 5*1 = 5 cm`

Therefore, 5 cm of snow accumulates per hour.

I hope it helps you!