Answer
For generator A
The rate of change = 4.8
Initial cost of renting the generator = 100
For generator B
The rate of change = 3.3
Initial cost of renting the generator = 250
Explanation
The cost of renting generator A is given by the function
f(x) = 100 + 4.8x
From this given equation, we can see that the rate of change is 4.8
Initial cost of renting the generator = 100
For generator B, a graph is given.
The initial cost = The point where the line on the graph crosses the y-axis
The initial cost = 250
The rate of change = The slope of the line.
For the slope of the line, for a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]
For this question,
(x₁, y₁) and (x₂, y₂) are (10, 283) and (20, 316)
[tex]\text{Slope = }\frac{316-283}{20-10}=\frac{33}{10}=3.3[/tex]
Hope this Helps!!!
