The value of y varies directly with the value of x. Which function represents the relationship between x and y if y=7/3 when x=21?

y = 1/9x

Step-by-step explanation:

Since it's a direct proportion, the formula to use will be:

y = kx

where,

y = 7/3

x = 21

k = unknown

y = kx

7/3 = 21k

k = 7/3 ÷ 21

k = 7/3 × 1/21

k = 1/9

The function will then be:

y = kx

y = 1/9x

6.58-8.36x=3.98x-27.33

Collecting like terms

6.58+27.33=3.98x+8.36x

33.91=12.34x

33.91/12.34=12.34/12.34

x=2.75