Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

k = ⅔

d. y = ⅔xz; y(6, 3) = 12

Step-by-step explanation:

        y ∝ x and y ∝ z, so

        y ∝ xz and

(1)      y = kxz               Divide each side by xz

        k = y/(xz)            Let x = 1, z =4, y = ⁸/₃

           = (⁸/₃)/(1 × 4)

           = ⁸/₃ × ¼          Cancel 4s

(2)   k = ⅔                Substitute into (1)

        y = ⅔xz              Let x = 6, z = 3

        y = ⅔ × 6 × 3     Cancel 3s

       y = 2 × 6

       y = 12

y(6, 3) = 12

it's both, now can you answer my most recent question?

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.