A water tank is being filled by pumps at a constant rate. The volume of water in the tank, V, in gallons, is given by the equation: V(t) = 65t + 280, where t is the time, in minutes, the pump has been on. At what rate, in gallons per minute, is she water being pumped into the tank?

Answer :

Answer: the water is being pumped at the rate of 65 gallons per minute

Step-by-step explanation:

The volume of water in the tank, V, in gallons, is given by the equation:

V(t) = 65t + 280,

where

t is the time, in minutes,

v is the volume of the water in gallons.

The volume of water being pumped is a function of time. It is a Linear equation and it takes the form of the slope intercept equation, y = mx + c

Where m is the slope and

c is the intercept. Comparing both equations, the slope in the given equation is 65.

Slope means the rate of change in y with respect to x. So it means that the volume of water in the tank in gallons is increasing at a rate of 65 gallons per minute.