Question

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

Answer 1

\(\huge{y=kx}\)

Plug them in and simplify if they do vary....they would each would need to have the same value of k....

\(\huge{11=k(7)}\)
\(\huge{13=k(8)}\)
\(\huge{15=k(9)}\)
\(\huge{17=k(10)}\)

Answer 2

all values are going up by one..

Answer 3

For the x-values, yes they are going up by 1. But we need to find k in each equation I typed. We would need to divide y by x to find k....

\(\huge{\frac{11}{7}=k}\)

\(\huge{\frac{13}{8}=k}\)

Once you get the totals from the both determine if they are the same...if they are not then `y does not vary directly to x`.

Answer 4

confused on how to divide them.. @563blackghost

Answer 5

divided 11 by 7?

Answer 6

Correct :)

Answer 7

1.5

Answer 8

and 18.8 is 1.6

Answer 9

so y doesnt vary

Answer 10

@563blackghost