Let’s go through each problem one by one.
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Problem 1:
Andre uses 2 scoops of lemonade mix for each batch. So, the total scoops `s` = 2 × number of batches `b`.
Equation:
s = 2b
We need to complete the table:
- When b = 0 → s = 2×0 =
0
- When b = 1 → s = 2×1 =
2
- When b = 2 → s = 2×2 =
4
- When b = 3 → s = 2×3 =
6
So the completed table is:
| b | s |
|---|---|
| 0 | 0 |
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
Now, plot these points on the graph: (0,0), (1,2), (2,4), (3,6). Then draw a straight line through them — it should start at origin and go up 2 units for every 1 unit right.
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Problem 2:
Lana walks 5 minutes at the start of each run. Then she exercises for t minutes. Total time r = 5 + t.
Equation:
r = t + 5
Complete the table:
- When t = 10 → r = 10 + 5 =
15
- When t = 20 → r = 20 + 5 =
25
- When t = 30 → r = 30 + 5 =
35
- When t = 40 → r = 40 + 5 =
45
Table:
| r | t |
|----|----|
| 15 | 10 |
| 25 | 20 |
| 35 | 30 |
| 45 | 40 |
Plot these as (t, r) points: (10,15), (20,25), (30,35), (40,45). Draw a straight line — it will have a slope of 1 and y-intercept at 5 (if you extend it back to t=0).
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Problem 3:
Andi makes $0.25 per bar. Equation: m = 0.25b
Complete the table:
- When b = 0 → m = 0.25×0 =
0
- When b = 4 → m = 0.25×4 =
1.00
- When b = 6 → m = 0.25×6 =
1.50
- When b = 12 → m = 0.25×12 =
3.00
Table:
| b | m |
|----|-------|
| 0 | 0.00 |
| 4 | 1.00 |
| 6 | 1.50 |
| 12 | 3.00 |
Plot these as (b, m): (0,0), (4,1), (6,1.5), (12,3). Draw a straight line through them — starts at origin, goes up slowly.
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All tables are now filled, and graphs should be drawn with lines connecting the plotted points.
Final Answer:
The completed tables are:
1. s = 2b → (0,0), (1,2), (2,4), (3,6)
2. r = t + 5 → (10,15), (20,25), (30,35), (40,45)
3. m = 0.25b → (0,0), (4,1), (6,1.5), (12,3)
Graph each set of points and draw a straight line through them.
Parent Tip: Review the logic above to help your child master the concept of table and graph worksheet.
