Question

Type the correct answer in each box.The graph represents the gallons of water in a water tank with respect to the number of hours since it was completely5004500.400350300Water (gallons)250200150100507681923 4 5Time (hours)gallons, and the rate of change isgallons per hour.The total capacity of the water tank is blank

Answer 1

The graph is a line therefore we will calculate the slope of the line because it is the rate of change

$m=\frac{g_2-g_1}{t_2-t_1}$

where

(0,400)=(t1,g1)

(5,300)=(t2,g2)

we substitute the values

$m=\frac{300-400}{5-0}=\frac{-100}{5}=-20$

The total capacity of the water tank is 400 gallons, and the rate of change is -20 gallons per hour