Question

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

Answer 1

Answer:

$k=\frac{32}{5}$,  $y=\frac{32}{5}x$

$k=6.4$, $y=6.4x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Find the value of the constant of proportionality k

take any ordered pair from the data

For x=25, y=160

$k=\frac{y}{x}$

substitute the values of x and y

$k=\frac{160}{25}$

simplify

$k=\frac{32}{5}$

The linear equation is equal to

$y=\frac{32}{5}x$

or

$y=6.4x$