A pool can hold 2050 gallons of water, and it is being filled at a rate of 50 gallons per hour. The pool currently has 300 gallons in it.
a) Write a linear equation which represents number of gallons in the pool.
b) How long will it take to finish filling the pool?
a) To write a linear equation that represents the number of gallons in the pool, we need to consider the initial amount of water in the pool and the rate at which it is being filled.
Let's call the number of hours it takes to fill the pool "h". Since we are given that the pool currently has 300 gallons, the equation can be written as:
Number of gallons = Initial amount + (Rate of filling x Number of hours)
Number of gallons = 300 + (50 x h)
b) To find how long it will take to finish filling the pool, we can set up an equation and solve for "h". We want the number of gallons in the pool to be equal to the pool's total capacity of 2050 gallons. So, the equation can be written as:
2050 = 300 + (50 x h)
To solve for "h", we can start by subtracting 300 from both sides:
2050 - 300 = 50h
1750 = 50h
Next, we can divide both sides of the equation by 50:
1750 / 50 = h
h = 35
Therefore, it will take 35 hours to finish filling the pool.
g = 300 + 50 t
2050 = 300 + 50 t
50 t = 1750
t = 175/5 = 35 hours