Worksheet with two math problems involving writing equations from tables.

Explanation:
Let’s look at problem 1 first.

We are given a table:

| Number of Practices (p) | Amount of Time (h hours) |
|--------------------------|---------------------------|
| 2 | 3 |
| 4 | 6 |
| 6 | 9 |

We need to:
- Identify the independent and dependent variables.
- Write an equation relating p and h.

Step 1: Independent vs. Dependent variable
The independent variable is what *we choose* or control — here, Edward decides how many practices to do (p).
The dependent variable depends on that choice — the time spent (h) changes based on how many practices he does.

So:
- Independent variable: p (number of practices)
- Dependent variable: h (hours of practice)

Step 2: Find the relationship
Look at the pattern:

- When p = 2, h = 3 → 3 = ? × 2
- When p = 4, h = 6 → 6 = ? × 4
- When p = 6, h = 9 → 9 = ? × 6

Try dividing h by p:
- 3 ÷ 2 = 1.5
- 6 ÷ 4 = 1.5
- 9 ÷ 6 = 1.5

So h = 1.5 × p
Or in fraction form: h = (3/2)p

That’s the equation.

Now problem 2 (Abbi’s bike rides):

| Number of Rides (r) | Total Distance (m miles) |
|----------------------|---------------------------|
| 2 | 5 |
| 3 | 7.5 |
| 4 | 10 |

Again:
- Independent variable: r (she chooses how many rides)
- Dependent variable: m (distance depends on number of rides)

Find pattern:
- 5 ÷ 2 = 2.5
- 7.5 ÷ 3 = 2.5
- 10 ÷ 4 = 2.5

So m = 2.5 × r
Or m = (5/2)r

But the question only asks for problem 1 in the visible part (the second problem is cut off in the prompt — only problem 1 has full instructions: “Identify… Create an equation…”). Since the user only asked to solve the task shown, and problem 1 is fully specified, we answer problem 1.

Final Answer:
Independent variable: p
Dependent variable: h
Equation: h = 1.5p or h = (3/2)p