express the statement as a formula. y is directly proportional to x. if x = 6 and y = 36, what is the…

express the statement as a formula. y is directly proportional to x. if x = 6 and y = 36, what is the constant of proportionality? 11 1/6 6 9 10

express the statement as a formula. y is directly proportional to x. if x = 6 and y = 36, what is the constant of proportionality? 11 1/6 6 9 10

Answer

Explanation:

Step1: Write the direct - proportional formula

The formula for direct proportionality is (y = kx), where (k) is the constant of proportionality.

Step2: Substitute the given values of (x) and (y) into the formula

Given (x = 6) and (y = 36), substitute into (y=kx). We get (36=k\times6).

Step3: Solve for (k)

To find (k), divide both sides of the equation (36 = 6k) by (6). So, (k=\frac{36}{6}).

Answer:

(6)