Final answer:
The function f(x) models the amount of soil remaining after planting succulents, with x representing the number of succulents. A function such as f(x) = 20 - ax would suffice, where ax represents the amount of soil used per succulent. The exact model depends on the specific amount of soil used per plant.
Step-by-step explanation:
The question revolves around finding a suitable function f(x) that models the total amount of soil in ounces remaining in a bag after planting x number of succulents in a garden. Given that 0≤x≤20, and assuming a linear relationship based on the information provided, we can model this as f(x) = 20 - ax, where a is the amount of soil used per succulent.
Specific details such as the initial amount of soil in the bag and the soil used per succulent are required to generate a complete model. However, based on example f(x) = 20.2368 - 0.0819x, it indicates that for each succulent planted, 0.0819 ounces of soil are used, assuming this relationship holds true for a specific range of succulent sizes.
To draw the graph, one would place f(x) on the y-axis and x on the x-axis, plot the line based on the provided equation, and restrict the graph to the domain 0≤x≤20. A graph depicting a horizontal line indicates that the function is constant; however, the given equation shows a decrease in soil with increasing x, which should be represented by a line with a negative slope within the given domain.