Water flows back and forth between a small and large tank. when water is moving into a tank the flow rate is positive, and when water is moving from a tank the flow rate is negative. each tank begins with 250 gallons of water. the flow rate for the large tank is recorded as –6 gallons per minute. after a period of 25 minutes, which integer represents the amount of water left in the large tank?

Amount of water remaining = 100 gallons

Step-by-step explanation:

Each tank begins with 250 gallons of water.

So water in tank = 250 gallons

The flow rate for the large tank is recorded as –6 gallons per minute

Rate of reduction of water = 6 gallons per minute

After a period of 25 minutes, which integer represents the amount of water left in the large tank.

Period = 25 minutes.

Amount of water remaining = 250 - 25 x 6 = 250 - 150 = 100 gallons

Amount of water remaining = 100 gallons

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3