Answered

Find the best solutions to your problems with the help of IDNLearn.com's experts. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.

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

Sagot :

Macaroni31idn

Answer:

The tank will fill with 516 gallons after B. 19 hours.

Step-by-step explanation:

To answer this question, let’s set up an equation to model the amount of water in the tank.


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.

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.