Question

linear equations
part 3 of 3 1 2 3 trying to earn:
arthur is evaluating the securesync cloud storage service that can safely store terabytes of data. there are three pricing plans for data storage:

• no plan with a high price per terabyte
• basic plan with a low membership fee and a moderate price per terabyte
• premium plan with a high membership fee and a low price per terabyte

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.
cost
number of terabytes
dotted red line:
dashed blue line: basic plan
solid green line:

Explanation:

Each plan follows a linear cost model $C = mx + b$, where $b$ (y-intercept) is the membership fee, and $m$ (slope) is the price per terabyte:

1. Dotted red line: Has the highest y-intercept and lowest slope, matching the Premium plan (high membership fee, low price per terabyte).
2. Dashed blue line: Has a moderate y-intercept and moderate slope, matching the Basic plan (low membership fee, moderate price per terabyte).
3. Solid green line: Has a y-intercept of 0 and highest slope, matching the No plan (no membership fee, high price per terabyte).

Answer:

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