A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4 gallons per minute what percent of the tub will be filled after 6 minutes?

After 6 minutes the tub will be 30% full

Step-by-step explanation:

Step 1

Determine the total volume that will be filled by the faucet at time (t) using the expression below;

V=R*T

where;

V=total volume

R=flow rate, gallons per minute

T=time in minutes

In our case;

V=unknown

R=4 gallons per minute

T=6 minutes

replacing;

V=4*6=24 gallons

Total volume filled after 6 minutes=24 gallons

Step 2

Determine the percentage volume of the tab that will be filled after 6 minutes using the expression;

percentage volume = (volume filled after 6 minutes/total volume) * 100

where;

volume filled after 6 minutes=24 gallons

total volume=80 gallons

replacing;

percentage volume = (24/80) * 100=30%

After 6 minutes the tub will be 30% full