Someone, with this question. this is my last question.
you are filling your rectangular hot tub with water. the base is 76 inches by 60 inches. the hot tub holds 350 gallons of water. if the hot tub is one-fourth full, what is the approximate height of the water?

4.5 inches high

Step-by-step explanation:

First, find the height of the tub using the volume 350 and the length 76 and width 60 in the volume formula.

Convert 350 gallons to cubic inches by multiplying 350*231 (since 1 gallon has 231 cubic inches). 350*231 = 80,850.

The volume formula for a rectangular prism is .

Substitute l = 76, w = 60 and V= 80850.

80850 = 76*60*h

80850 = 4,560*h

17.7 = h

18 = h

The tub is about 18 inches high. If the water is 1/4 of the way full. it will be 1/4 of the height.

18* 1/4 = 4.5

The water is about 4.5 inches high.

f(x) has value 150 at x= 0

and 0 at x= 3

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