Question

5.

Independent variable:

Dependent variable:

dost

The graph shows the cost to rent a
surfboard at a local shop. Use the graph to
answer the following questions:

Check the appropriate box: (2 points)

time

cost

time

Is the relationship between the x - and
y-values shown in the graph
additive or multiplicative? (circle one)
(1 point)

Write the equation:
(1 point)

Answer 1

Based on the provided information about the graph showing the cost to rent a surfboard at a local shop, here’s how we can fill out the requested information:

**Independent variable:** time

**Dependent variable:** cost

To determine if the relationship is additive or multiplicative, we typically look for consistent patterns in the way one variable affects the other. Since we don't have the actual graph, we can infer:

- **Additive:** If the cost increases by a constant amount for each additional unit of time, the relationship is additive.
- **Multiplicative:** If the cost increases by a constant percentage (or ratio) for each additional unit of time, the relationship is multiplicative.

Since there is no specific graph to analyze, let's assume the relationship is **multiplicative** (which is common for rental pricing that may include base fees plus charges that vary with time).

**Write the equation:**
If the relationship is multiplicative, you could express the cost as a function of time. A common form would be:
\[ \text{cost} = k \cdot \text{time} \]
where \( k \) represents the cost per unit time (which you would derive from the graph).

Make sure to adjust the equation based on the specific details from the graph if you have those available.