Question

To prepare an aquarium for use, you can clean it with saltwater solution.The amount of salt varies directly with the volume of the water.The solution has 3 teaspoons of aquarium salt for every 2 gallons of water.

Answer 1

teaspoons of water = y

gallons of water = x

• a)

y = k x

Where k is the constant of proportionality.

Replace x,y by the values given and solve for k:

3= k 2

3/2 = k

k= 1.5

Equation:

y= 1.5x

• b) replace x=10 and solve for y

y= 1.5x

y= 1.5 (10)

y= 15

15 teaspoons of aquarium salt

• c) replace y= 39 and solve for x

y=1.5x

39 = 1.5 x

39/1.5= x

x = 26

26 gallons of water