if a fire truck is pumping water at a rate of 200 L/min, how long will it take to put out a fire in a room with a floor area of 140m squared

Answer:[tex]1.09\ min[/tex]Step-by-step explanation:step 1Find the minimum volume of water needed to fight a room with a floor area of 140 m^2see the attached table to better understand the problemwe know thatA relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex] Letx ----> the floor area in square feety ---> minimum volume of water in litersIn this problem the relationship between the variables x and y represent a direct variationFind the constant of proportionality kLooking at the tableFor x=25, y=39[tex]k=y/x[/tex] ---->[tex]k=\frac{39}{25}=1.56[/tex]The equation is[tex]y=1.56x[/tex]For x=140 m^2substitute and solve for y[tex]y=1.56(140)[/tex][tex]y=218.4\ L[/tex]step 2How long will it take to put out a fire in a room with a floor area of 140 m^2we know thatThe fire truck is pumping water at a rate of 200 L/minThe minimum volume of water needed is 218.4 LsoDivide the minimum volume of water needed by the rate[tex]218.4/200= 1.092\ min[/tex]