📊 Part 1: Understanding Variables and Tables

1. Look at this rule: y = x + 4. Complete the table of values:

x | 0 | 1 | 2 | 3 | 4

y | ___ | ___ | ___ | ___ | ___

2. In the rule y = x + 4, which variable is independent and which is dependent?

x is independent, y is dependent

y is independent, x is dependent

Both are independent

3. A mobile phone plan costs $25 per month plus $2 for each gigabyte of data used. If d = gigabytes used and C = total cost, write the rule:

C = ________________

4. Using your rule from question 3, what would be the total cost for using 6 gigabytes?

📈 Part 2: Plotting and Interpreting Graphs

5. Plot the points from your table in question 1 on the coordinate plane below. Then draw a line through the points.

6. Look at your graph from question 5. What happens to the y-value when the x-value increases by 1?

It increases by 1

It increases by 4

It decreases by 1

It stays the same

7. The graph shows the temperature in Melbourne during one day. Check all statements that are true:

The temperature increased throughout the day

The highest temperature was around 2:00 PM

The temperature was 8°C at midnight

The temperature changed at a constant rate

8. A student walks to school at a steady pace. Sketch what you think the graph of distance from home vs. time would look like:

9. Explain your thinking for question 8. Use the words "independent variable", "dependent variable", and "linear" in your answer:

10. Look at this graph showing water usage in an Australian household. What story does this graph tell?