The Kwon family has a rainwater catchment system they use to water their garden. After 3 days without rain, the depth of water in the tank is 63 inches. After 5 days, the depth is 57 inches.
What will the depth of water in the tank be after 17 days?
What tank?
(3,63),(5,57), (17,y).
m = (57-63)/(5-3) = -6/2 = -3.
m = (y-57)/(17-5) = (y-57)/12 = -3/1
y-57 = -36
Y = 57-36 = 21 Inches after 17 days.
To find the depth of water in the tank after 17 days, we need to determine the rate at which the water level is decreasing. We can assume that the rate of decrease is constant.
First, let's find the rate of decrease per day. We have the following data:
- 3 days: Depth = 63 inches
- 5 days: Depth = 57 inches
The change in depth over 2 days is 63 - 57 = 6 inches.
Therefore, the rate of decrease per day is 6 inches ÷ 2 days = 3 inches per day.
Now, let's calculate the depth after 17 days. Since the water level is decreasing, we subtract the rate from the initial depth of 63 inches.
Depth after 17 days = Initial depth - (Rate of decrease per day × Number of days)
Depth after 17 days = 63 inches - (3 inches per day × 17 days)
Now we can calculate the depth.
Depth after 17 days = 63 inches - (3 inches/day × 17 days)
Depth after 17 days = 63 inches - 51 inches
Depth after 17 days = 12 inches
Therefore, the depth of water in the tank after 17 days will be 12 inches.