A pump can be adjusted to empty a 1000-liter pool at different rates. When operated at a rate of R liters per minute, the pump takes T minutes to empty the pool. Which equation below relates R and T correctly?
since volume(L) = rate(L/min) * time(min), you have
1000 = T*R
or something equivalent
To find the equation that relates the rate of the pump (R) and the time it takes to empty the pool (T), we need to consider their relationship.
First, let's analyze what it means for the pump to empty the pool. The pump operates at a certain rate, which means it can remove a certain amount of water (R liters) every minute. So, in T minutes, the pump would remove a total of R multiplied by T liters.
Since we want to empty the entire 1000-liter pool, we need to set up an equation relating the pump's rate and the time it takes to empty the pool:
R * T = 1000
This equation states that the rate of the pump (R) multiplied by the time it takes (T) should equal the total volume of the pool (1000 liters).
Therefore, the correct equation relating R and T is:
R * T = 1000