Question

Find value of 'k' and solve for unknown variable

Answer 1

k = 27/4

y = 283.5

Explanation:

Let

y = amount of water used

x = number of dogs washed

y = kx

y = 81 gallons

x = 12 dogs

y = kx

81 = k * 12

81 = 12k

Divide both sides by 12

81/12 = 12k/12

k = 81/12

k = 27/4

k = 6.75

Find x when y = 42 dogs

y = kx

y = 27/4 * 42

y = (27*42) / 4

y = 1,134 / 4

y = 283.5

y = amount of water used = 283.5 gallons