To analyze the two functions, we need to understand the behavior of the water levels in both tanks.
-
First Tank: Assuming the equation representing the amount of water left in the first tank is linear, we can denote the initial water level and the rate of decrease. Since we do not have the exact equation, let's assume the tank starts with a certain amount of water and decreases at a certain rate.
-
Second Tank: The table provides the amount of water left in the second tank after each minute:
- At 0 minutes: 60 liters
- At 1 minute: 48 liters
- At 2 minutes: 36 liters
- At 3 minutes: 24 liters
- At 4 minutes: 12 liters
- At 5 minutes: 0 liters
From this data, we can deduce:
- Initial water level = 60 liters
- The water decreases by 12 liters every minute (since 60 - 48 = 12).
Now, let's evaluate the options:
-
Initial Water Levels:
- The initial water level in the second tank is 60 liters.
- We don’t know the initial water level of the first tank since the equation is not provided, so we cannot immediately conclude how it compares.
-
Rate of Decrease:
- The second tank decreases by 12 liters per minute.
- To compare this with the first tank, we would need the specific rate from its equation.
Without the specific equation representing the first tank, we cannot definitively determine which tank decreases faster or where the initial water level stands in comparison.
However, based on the table, we know:
- The second tank has an initial level of 60 liters and drops by 12 liters per minute.
If we assume the first tank does indeed start with a greater amount, it's likely to decrease slower than the second tank if it’s emptying more gradually. But that’s speculative without the equation.
Let’s examine the options:
A. This option suggests that the first tank decreases faster while starting with a higher amount. Not confirmed without info about the first tank.
B. This implies the first tank decreases slower and starts with a lesser amount. Also not confirmed without info about the first tank.
C. This says the second tank decreases faster and starts with larger initial water. Supported by second tank data but future speculation about the first tank without its equation prevents us from saying for sure.
D. Similar to B but in reverse.
Given the concrete data we have about the second tank directly, we cannot firmly choose A, B, C, or D ultimately based on the information available about the first tank.
If we had more information about the rate at which the first tank drains, that would allow us to make a better decision. Without it, we cannot reach a conclusion. If you have more details, please share!
1 answer