Question

Find k, the constant of proportionality, for the data in this table. Then write an equation for the relationship.

They equation needs to be in the form y=kx

K=

Equation:

Answer 1

`k=(32)/(5)`,
`y=(32)/(5)x`

`k=6.4`,
`y=6.4x`

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`k=(y)/(x)` or
`y=kx`

Find the value of the constant of proportionality k

take any ordered pair from the data

For x=25, y=160

`k=(y)/(x)`

substitute the values of x and y

`k=(160)/(25)`

simplify

`k=(32)/(5)`

The linear equation is equal to

`y=(32)/(5)x`

or

`y=6.4x`