In a linear model, a question asking how much is raised for each item asks for the rate of change. Find the number multiplying the item count: it tells you how much the total increases when the count goes up by one. The term without the item count is the starting total, not the rate.
Hints
- Hint 1
A rate of change is how much the total rises when the count increases by one. In this model, which part of the total changes as more memberships are sold?
- Hint 2
The constant term is the number without . It stays in the total regardless of how many memberships are sold, so it cannot be the amount raised for each membership.
Step-by-step
Read the rate from the model
Step 1Separate the starting amount
No Desmos needed. The equation already shows the per-membership rate. The has no , so it stays in the total even before any memberships are sold. It's the starting amount, not the amount earned from each sale.
- Step 2
Identify the amount added per membership
The term adds dollars for each membership sold. So the number multiplying is the dollars raised per membership. The club raises dollars for each membership sold. Choice C.