Initially a pool contains 350 gallons of water. A hose is placed in the pool, and the water is turned
on. The hose adds 4.8 gallons of water per minute. Write an equation that shows the relationship
between the total amount of water in the pool, V, and the number of minutes the hose has been on,
x.
D. V(x) = 5.2 + 350
V=4.8x 350 gallons = 4.8 gal x 72.91 minutes
Initially a pool contains 350 gallons of water. A hose is placed in the pool and the water is turned on. The hose adds 5.2 gallons of water per minute. Model the total amount, V, of water in the pool for x, the number of minutes the hose has been on.
A)
V(x) = 5.2x
B)
V(x) = 350x - 5.2
C)
V(x) = 350x + 5.2
D)
V(x) = 5.2x + 350
To write an equation that shows the relationship between the total amount of water in the pool, V, and the number of minutes the hose has been on, x, we need to consider the initial amount of water in the pool and the rate at which the hose adds water.
Initially, the pool contains 350 gallons of water. The hose adds 4.8 gallons of water per minute. Therefore, for every minute the hose is on, the total amount of water in the pool increases by 4.8 gallons.
As the hose is on for x minutes, the total amount of water in the pool, V, can be found by adding the initial amount of water to the amount of water added by the hose over x minutes.
Thus, the equation that shows the relationship between V and x is:
V = 350 + 4.8x
In this equation, V represents the total amount of water in the pool (in gallons), and x represents the number of minutes the hose has been on.