TWO water hoses are pouring water into two separate pools. Alex measures the volume of the water in each pool after different amounts of time and records the information in the two tables below.
Hose A
Hose B
Time (min)
Volume (liters)
Time (min)
Volume (liters)
2
36,7
2
42.8
3
55.05
4
85.6
5
91.75
7
126
8
146.8
10
165
a. For each hose, is there a proportional relationship between the time a hose has been running and the volume of water in the pool?
Explain your reasoning for each hose.

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.