Question

Dot next to number shows a point on the board. 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:
Independent variable:
ost
Dependent variable:
• cost
(2 points)
Y axis
Cost (dollars)
40
35
30
25
20
15
10
5
Is the relationship between the x - and y-values shown in the graph additive or multiplicative? (circle one)
(1 point)
Write the equation:
Cost to Rent a Surfboard
X axis
Amount of Time (hours)
1
2
3
4
5
6

Answer 1

Based on the information you provided, here's how to address the questions:

1. **Independent variable:**
- **Amount of Time (hours)** (Check the appropriate box next to "Amount of Time (hours)")

2. **Dependent variable:**
- **Cost** (Check the appropriate box next to "cost")

3. **Is the relationship between the x- and y-values shown in the graph additive or multiplicative?**
- The relationship is **multiplicative** (circle "multiplicative").

4. **Write the equation:**
- If we assume the cost increases consistently with each hour, for instance, if the cost per hour is a set value like \(C\) dollars, the equation might look like:
\[
\text{Cost} = C \times \text{Amount of Time}
\]
You would need to find the specific value of \(C\) based on the graph (for example, if the cost for 1 hour is $10, the equation would be):
\[
\text{Cost} = 10 \times \text{Amount of Time}
\]

You would replace \(C\) with the value that reflects the correct cost per hour based on your graph. If you have a specific figure from the graph, I can help you refine the equation further!