Question

Yolanda is filling her bathtub. The table shows the number of gallons of water in the bathtub at different times since she started filling it. Time (minutes) 1, 1.5, 2 Water (gallons) 16.50, 24.75,33. Now find the constant of proportionality (in gallons per minute) for the second and third rows of the table. Show your work.

Answer 1

K= 16.5 gallons per minute

Explanation:

Time t (minutes) Water g (gallons)

For t= 1, g= 16.50,

for t= 1.5 ,g= 24.75

For t= 2,g= 33

Let the function be

Gallons g= k(time t)

Where k is the constant of proportionality

16.5= k(1)for when t= 1

24.75= k(1.5) ..for when t= 1.5

Solving gives

8.25=k(0.5)

8.25/0.5= k.

16.5 = k

K= 16.5 gallons per minute