Determine whether y varies directly with x. if so, find the constant of variation k and write the equation.
x y
7 11
8 13
9 15
10 17

As equation for  y varies directly with x with constant of variation k is y = kx .

(1 )Equation becomes 11 = 7k and constant of variation is 1.57 .

(2)Equation becomes 13 = 8k and constant of variation is 1.625 .

(3)Equation becomes 15 = 9k and constant of variation is 1.67 .

(4)Equation becomes 17 = 10k and constant of variation is 1.7 .

Step-by-step explanation:

As given

y varies directly with x.

y = kx

Where k is the constant of variation .

As given

x = 7 , y = 11

Equation becomes

11 = 7k

k = 1.57 (Approx)

Thus equation becomes 11 = 7k and constant of variation is 1.57 .

As given

x = 8 , y = 13

Equation becomes

13 = 8k

k = 1.625

Thus equation becomes 13 = 8k and constant of variation is 1.625 .

As given

x = 9 , y = 15

Equation becomes

15 = 9k

k = 1.67 (Approx)

Thus equation becomes 15 = 9k and constant of variation is 1.67 .

As given

x = 10 , y = 17

Equation becomes

17 = 10k

k = 1.7 (Approx)

Thus equation becomes 17 = 10k and constant of variation is 1.7 .

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled