Answer :
Answer:
The correct option is;
d. 130·(60·h)+2000 = 43000
Step-by-step explanation:
The volume of water held by a pool at Sapphire island = 43,000 gallons
The volume of water the pool currently holds = 20,000 gallons
The rate at which the pool is being filled = 130 gallons/minute
The equation to find h, the number of hours it will take to fill the pool from its current level can be written as follows;
The rate at which the pool is being filled in gallons per hour = 130 × 60 gallons/hour = 7800 gallons/hour
We have;
The volume of water pumped in h hours = (130×60) gallon/hour × h hour = 130×60×h gallons
Whereby we want the total volume of water in the pool to be 43,000 gallons, we add the volume of water obtained from pumping for hours to the volume of water already in the pool, to get 43,000 gallons as follows;
130×60×h gallons + 20,000 gallons = 43,000 gallons
Therefore, the correct option is 130·(60·h)+2000 = 43000.
Final answer:
The equation to find the number of hours, h, it will take to fill the pool from its current level is 130 × (60h) + 20000 = 43000 (option d). This accounts for the current pool volume, total capacity, and fill rate per hour.
Explanation:
To determine the equation for finding h, the number of hours it will take to fill the pool from its current level, we need to consider the current amount of water in the pool, the total capacity of the pool, and the rate at which water is being added. The pool currently holds 20,000 gallons and needs to be filled to a total of 43,000 gallons. The rate of filling is 130 gallons per minute. Since there are 60 minutes in an hour, we multiply 130 gallons/minute by 60 minutes/hour to get the filling rate per hour. The amount of water added in h hours is 130 gallons/minute × 60 minutes/hour × h hours. To find h, we set up the equation:
130 × (60h) + 20000 = 43000
This equation is based on the fact that the water added over time (130 × 60h) when added to the current volume in the pool (20000 gallons) must equal the total capacity of the pool (43000 gallons). Therefore, the correct answer is option d.
