Use this information for problems 1 and 2. When full, one of the pools at Sapphire Island will hold 43,000 gallons of water. The pool currently holds 20,000 gallons of water and is being filled at a rate of 130 gallons per minute. Write an equation that can be used to find h, the number of hours it will take to fill the pool from its current level.

a
\large 130+20000\left(60h\right)=43000

b
\large 60\left(130\right)+20000h=43000

c
\large 130\left(60h\right)-20000=43000

d
\large 130\left(60h\right)+20000=43000

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.

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step-by-step explanati∵∵∴∴on:

f(x) has value 150 at x= 0

and 0 at x= 3

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