In the city of Toyama, 4 meters of snow fell in 20 days. At this rate, how much time would it take for 12 meters of snow to fall?
(a) Let t be the unknown amount of time it would take (in days). Using the values below, create a proportion that can be used to find t.
Values: t , 4 , 20 , 12
_____ _____
(b) Use the proportion from part (a) to find the time it would take for 12 meters of snow to fall. Do not round any computations.
(a) The proportion that can be created using the values is:
t/4 = 20/12
(b) To find the time it would take for 12 meters of snow to fall, we can cross-multiply and solve for t:
12 * 20 = 4 * t
240 = 4t
t = 240/4
t = 60
Therefore, it would take 60 days for 12 meters of snow to fall.
(a) We can create a proportion using the given information:
(4 meters of snow) / (20 days) = (12 meters of snow) / (t days)
(b) Using the proportion from part (a), we can solve for t:
(4/20) = (12/t)
Cross-multiplying, we get:
4t = 20 * 12
Simplifying:
4t = 240
Dividing both sides by 4:
t = 240 / 4
t = 60
Therefore, it would take 60 days for 12 meters of snow to fall.
(a) To create a proportion, let's set up a ratio between the amount of snowfall and the number of days it took to accumulate that snowfall.
The given values are: t (unknown time), 4 meters (amount of snowfall), 20 days (number of days), and 12 meters (desired amount of snowfall).
We can set up the proportion as follows:
4/20 = 12/t
The left side of the proportion represents the ratio of snowfall to days for the known situation. The right side represents the ratio of snowfall to days for the unknown situation.
(b) To find the value of t (the unknown time), we can solve the proportion:
4/20 = 12/t
To do this, we need to cross-multiply:
4t = 20 * 12
4t = 240
Now, we can solve for t by dividing both sides by 4:
t = 240/4
t = 60
Therefore, it would take 60 days for 12 meters of snow to fall in the city of Toyama.