A water tank has 22 gallons of water. it begins to receive 26 gallons per hour for a number of hours. if the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?
- 5.2
- 19
- 20.7
- 23

The tank is filling with water at a constant rate. Therefore, we can model the scenario using an equation in y = mx + b form. Let y equal the amount of gallons in the tank and let x equal the amount of hours.

The tank starts with 22 gallons. This is our y-intercept. The tank is filling up at a rate of 26 gallons/hour. This is our slope. So, the situation can be modeled by

y = 26x + 22

To find the time when the tank reaches 516 gallons, set y to 516 and solve for x.

516 = 26x + 22

494 = 26x

19 = x

So, the tank will reach 516 gallons after 19 hours.

A water tank has 22 gallons of water. it begins to receive 26 gallons per hour for a number of hours. if the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling? - 5.2 - 19 - 20.7 - 23

Answer :

Other Questions

A water tank has 22 gallons of water. it begins to receive 26 gallons per hour for a number of hours. if the tank needs to fill to at least 516 gallons, which of the following is the minimum number of hours the tank should continue filling?
- 5.2
- 19
- 20.7
- 23