The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered. What is the constant rate of change? What does it represent ? What is the initial value ? What might that represent?

The correct answer is: Constant rate of change = 25, and it represents slope of the graph, initial value = 50 , and it represents y – intercept of the graph.

SOL – No of cubic yards of mulch ordered = x
Cost of the mulch delivered = y
In the graph, when x = 0 , y = 50  and  x = 10 , y = 300
Rate of change is ratio of the change output to the change of input. In linear function, rate of change is always constant i.e. remains same between different points in the function.
So, Constant rate of change = 
                                             =   
=    = 25
Constant rate of change represents slope of the graph.
Initial value is the output value, y, when input value, x = 0.
In the graph, when x = 0 , y = 50
Hence, initial value = 50
It represents y – intercept of the graph.

The form of a linear equation is y = mx + b in the slope-intercept notation. Variables in the equation are the X and Y. The values m and b represent the line's slope (m) and the value of y when x is 0 and Y is 500. (b). Because the line crosses the y-axis at (0,y), when x is 0, y is referred to as the y-intercept. A two-variable linear equation can be thought of as a linear relationship between y and x or two variables where the value of one (often y) relies on the value of the other (usually x). In this scenario, x is referred to be an independent variable and y as a dependent variable because it depends on the x variable.
Often plotted along the horizontal axis represents the independent variable, x label or not. The majority of linear equations are functions. Alternatively, there is just one value of y for every value of x. You can calculate the value of the dependent variable, y, once the independent variable, x, has been given a value.