(a) 4 inches of snow have fallen in the first 4 hours .
(b) 4:4=1:1, 1 inch per hour
(c) point is (0, 1)
(d) 21 hours for 21 inches of snow to fall
(a) How many inches of snow have fallen in the first 4 hours?
To find the amount of snowfall in the first 4 hours, we look at the y-axis of the graph. The y-axis represents the total snowfall in inches.
The graph shows that 4 inches of snow have fallen in the first 4 hours.
(b) Using your answer from (a), determine the ratio of snowfall to time. Express your answer as a unit rate in mixed number form.
To find the ratio of snowfall to time, we divide the total snowfall by the total time.
In this case, we have 4 inches of snowfall in 4 hours.
Therefore, the ratio of snowfall to time is 4:4. This is equivalent to 1:1.
To express this answer as a unit rate in mixed number form, we divide the numerator and denominator by 4.
This gives us a unit rate of 1 inch per hour.
(c) What (x, y) point on the graph corresponds to your answer in (b)? State it and circle.
The point on the graph that corresponds to a unit rate of 1 inch per hour is the point where the line intersects the y-axis. This point is (0, 1).
(d) To find the number of hours it took for 21 inches of snow to fall, we can set up and solve a proportion:
1 inch / 1 hour = 21 inches / h
Cross-multiplying, we get:
h = 21 inches / 1 inch/hour
h = 21 hours
Therefore, it took 21 hours for 21 inches of snow to fall.