Answer:
The slope of the line, m=-80 and
The equation of the line is, [tex]y=-80+440[/tex]
Step-by-step explanation:
Given that initially the hot tub is filled with 440 gallons of water.
So, at time t=0, the amount of water = 440 gallons.
Further, after 1.5 hours, the amount of water had decreased to 320 gallons.
So, at time t=1.5 hours, the amount of water = 320 gallons.
The point (0,440) and (1.5, 320) are on the line.
So, the slope, m, of the line is
[tex]m=\frac{440-320}{0-1.5}=-\frac{120}{1.5}=-80[/tex]
The equation of the line is
[tex]y-440=-80(x-0) \\\\\Rightarrow y-440=-80x \\\\\Rightarrow y=-80x+440[/tex]
Hence, the slope of the line, m=-80 and the equation of the line is, [tex]y=-80+440[/tex].
