1. y and x have a proportional relationship, and y = 7 when x = 2. what is the value of x when y = 21? 2. y and x have a proportional relationship, and y = 9 when x = 2. what is the value of y when x = 3? 3.he table shows a proportional relationship. x y 2 2.8 4 5.6 6 8.4 8 11.2 complete the equation that represents the table. enter your answer as a decimal in the box. y =

I really hope this helps. Lol. I got it wrong but that doesn't mean you have to.

Step-by-step explanation:

Proportional relationship states that one in which two quantities vary directly with each other.

In other words, we say the variable y varies directly as x if:

  , where k is constant of proportionality.

(1)

Given: y and x varies a proportional relationship, and y = 7 and x=2

find the value of x when y =21

By the definition of proportional relationship;

y = kx                  ......[1]

Substitute the value y= 7 and x = 2 to solve for k;

Divide by 2 to both sides we get;

Simplify:

k = 3.5

Now,  substitute the value of k = 3.5 and y =21 in equation [1] to find the value of x.

Divide both sides by 3.5 we get;

Simplify:

x = 6

Therefore, the value of x is 6.

(2)

Given: y and x varies a proportional relationship, and y = 9 and x=2

find the value of y when x=3.

By the definition of proportional relationship;

y = kx                  ......[1]

Substitute the value y= 9 and x = 2 to solve for k;

Divide by 2 to both sides we get;

Simplify:

k = 4.5

Now,  substitute the value of k = 4.5 and x=3 in equation [1] to find the value of y.

Simplify:

x = 13.5

Therefore, the value of y is 13.5.

(3)

From the given table,

y = 2.8 when x = 2

by the definition of proportional relationship;

or

Divide by 2 to both sides, we get;

Simplify:

k = 1.4

Therefore, the equation that represents the table is; y = 1.4 x

a c

step-by-step explanation: