Answered

Engage with knowledgeable experts and get accurate answers on IDNLearn.com. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

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.

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com has the solutions to your questions. Thanks for stopping by, and see you next time for more reliable information.