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 3 2 Number & Sodas 6 6 What is the slope of the line that models this relationship?

Answer 1

The slope of the line is;

`m=(1)/(2)=0.5`

Step-by-step explanation:

Given the attached graph.

Recall that the formula for calculating the slope m of a line is;

`m=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1)`

From the graph, let us select two points on the line;

We have;

`\begin{gathered} (2,1)\text{ } \\ \text{and} \\ (4,2) \end{gathered}`

The slope can then be calculated by substituting this points into the formula;

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1)=(2-1)/(4-2) \\ m=(1)/(2)=0.5 \end{gathered}`

Therefore, the slope of the line is;

`m=(1)/(2)=0.5`