Question

creative corporation is evaluating trimtech landscaping service to mow their corporate lawn. there are three pricing plans for mowings: - no plan with a high price per mowing - basic plan with a low membership fee and a moderate price per mowing - premium plan with a high membership fee and a low price per mowing the following graphs show lines for the costs of the different plans on the same graph (numbers on the axes are not shown). question 1: in the following graph, match the 3 lines to their plans. dotted green line: - dashed blue line: basic plan solid red line: - question 2: if creative corporation needs to have a mowings, what is the least expensive plan?

Explanation:

Each plan can be modeled as a linear cost function $C = mx + b$, where $b$ is the fixed membership fee, $m$ is the cost per mowing, and $x$ is the number of mowings:

1. Dashed blue line: This line has a high fixed cost (y-intercept) and zero slope (cost does not change with number of mowings). This matches the Premium plan, which has a high membership fee and low per-mowing cost (effectively flat cost once the fee is paid for enough mowings).
2. Solid red line: This line has no fixed cost (y-intercept at 0) and a very steep slope. This matches the No plan, which has no membership fee but a high price per mowing.
3. Dotted green line: This line has a low fixed cost (y-intercept) and a moderate slope. This matches the Basic plan, which has a low membership fee and moderate per-mowing cost.

For Question 2, assuming "A mowings" refers to a small number of mowings (where the red line is the lowest cost on the graph): the No plan (solid red line) is the cheapest for a small number of mowings, as it has no upfront fee.

Answer:

Question 1:

• Dotted green line: Basic plan
• Dashed blue line: Premium plan
• Solid red line: No plan with a high price per mowing

Question 2:
No plan with a high price per mowing (solid red line)