In the city of Sapporo, meters of snow fell in days. At this rate, how much time would it take for meters of snow to fall?
(a) Let be the unknown amount of time it would take (in days). Using the values below, create a proportion that can be used to find .
Values:
_____ _____
(b) Use the proportion from part (a) to find the time it would take for meters of snow to fall. Do not round any computations.
days _
To create a proportion that can be used to find the unknown amount of time it would take for a certain amount of snow to fall, we can set up the ratio of snowfall to time as follows:
(amount of snowfall)/(number of days) = (amount of snowfall)/(unknown number of days)
Plugging in the given values, we have:
400 meters / 10 days = x meters / (unknown number of days)
Now, we can solve for x:
400 meters * (unknown number of days) = 10 days * x meters
400x = 10x
Dividing both sides by 10, we get:
40 = x
Therefore, it would take 40 days for 800 meters of snow to fall in the city of Sapporo.
(a) To create a proportion to find the unknown time, we can set up the following equation:
x / is equal to /
where x is the unknown amount of time (in days) and is the amount of snow (in meters).
(b) Now, we can use the proportion from part (a) to find the time it would take for meters of snow to fall:
x / = /
Plugging in the given values, we get:
x / = /
To find x, we can cross-multiply:
x * = *
Simplifying this equation gives us:
x = *
Substituting the values, we can calculate:
x = *
Therefore, the time it would take for meters of snow to fall is days.