Question

The cost of any soda from a soda machine is $0.50. The graph representing this relationship is shown below.

Soda machine...
Total Cost...
Number of Sodas

What is the slope of the line that models this relationship?

Answer 1

The slope of the line that models this relationship is 0.50 US dollars per soda.

Explanation:

At first we suppose the existence of a linear relationship between total cost (
`y`), measured in US dollars, and the number of sodas (
`x`), measured in sodas, that is:

`y = m\cdot x` (1)

If we know that
`x = 1\,soda` and
`y = \$\,0.50`, then the slop of the line is:

`m = (y)/(x)`

`m = (\$\,0.50)/(1\,soda)`

`m = 0.50\,(USD)/(soda)`

The slope of the line that models this relationship is 0.50 US dollars per soda.