Interpret the slope as a rate of change for the following situation. be sure to give the appropriate units:
the relationship between the number of gallons in a swimming pool (y) and time in minutes (x) is graphed and forms a line. the slope of the line is -4.
three of the following statements based on that situation are false. select the statement below that is true.

a. the pool is draining at rate of 240 gallons per hour.
b. the pool is filling up at a rate of four gallons per minute.
c. the pool is draining at a variable rate over time.
d. the pool is filling up at a rate of 240 gallons per hour.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.