The dimension of a rectangular pool are 24.5 feet by 13 feet. the depth of the water is 4 feet. each cubic foot contains 7.48 gallons of water. how many gallons of water to the nearest tenth, are needed to fill the pool to 80% capacity

Pool needed to be filled = 7623.62 gallons

Step-by-step explanation:

Length of rectangular pool = 24.5 feet

Width of rectangular pool = 13 feet

Depth of rectangular pool = 4 feet

Now, Volume of the pool = Length × Width × Depth

                                          = 24.5 × 13 × 4

                                          = 1274 cubic feet

Now, 1 cubic feet = 7.48 gallons

⇒ 1274 cubic feet = 7.48 × 1274

                              = 9529.52 gallons

So, Volume of the pool = 9529.52 gallons

Now, the pool is to be filled 80%

So, Pool needed to be filled = 9529.52 × 0.80

                                                 = 7623.62 gallons

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50