Question

Steven bought 6 books for $20.46. What is the constant of proportionality that relates the cost, y, to the number of books purchased, x?

Answer 1

$3.41

Explanation:

The constant of proportionality, k, is the ratio of the cost, y, to the number of books purchased, x.

In other words,

`\boxed{\boxed{\sf k = (y)/(x)}}`

In this case, Steven bought 6 books for $20.46.

So, the constant of proportionality is:

`\sf k = (y)/(x)= (\$20.46 )/( 6) = \$3.41`

Therefore, the constant of proportionality that relates the cost, y, to the number of books purchased, x, is $3.41.

This means that for every book that Steven buys, the cost increases by $3.41.