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

Answer:

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

Step-by-step 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:

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

$m = \frac{\ \,0.50}{1\,soda}$

$m = 0.50\,\frac{USD}{soda}$

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