Unit Rate Worksheet with Graphs for Calculating Rates

I'll solve each unit rate problem step by step.

Problem 1: Cost vs Boxes
Looking at the graph, I need to find where the line passes through clear points.
- The line goes through (0, 0) and appears to go through (2, 4)
- At 2 boxes, cost is $4
- Unit Rate = Cost ÷ Boxes = $4 ÷ 2 = $2 per box

Let me verify with another point: at 4 boxes, cost should be $8. Yes, that matches the pattern.

Problem 2: Cost vs Length of fabric
- The line goes through (0, 0) and (5, 10)
- At 5 yards, cost is $10
- Unit Rate = $10 5 = $2 per yard

Problem 3: Height vs Time
- The line goes through (0, 0) and (2, 6)
- At 2 minutes, height is 6 feet
- Unit Rate = 6 ÷ 2 = 3 feet per minute

Problem 4: Free throws vs Soccer balls
Wait, let me look more carefully. The y-axis says "Free throws" and x-axis says "Soccer balls."
- The line goes through (0, 0) and (2, 6)
- At 2 soccer balls, there are 6 free throws
- Unit Rate = 6 ÷ 2 = 3 free throws per soccer ball

Problem 5: Earnings vs Time
- The line goes through (0, 0) and (4, 8)
- At 4 hours, earnings are $8
- Unit Rate = $8 ÷ 4 = $2 per hour

Problem 6: Toys vs Cartons
- The line goes through (0, 0) and (4, 8)
- At 4 cartons, there are 8 toys
- Unit Rate = 8 ÷ 4 = 2 toys per carton

Final Answer:
1) $2 per box
2) $2 per yard
3) 3 feet per minute
4) 3 free throws per soccer ball
5) $2 per hour
6) 2 toys per carton