To find the correct table, we need to use the information given in the problem:
- Pamela rides her bike at a
constant rate of
0.1 kilometer per minute.
- We are looking for a table that shows how many kilometers (y) she has ridden after x minutes.
This means:
>
Distance = Rate × Time
> So,
y = 0.1 × x
Let’s test this formula with the values of x from the tables.
---
Check for
x = 5:
→ y = 0.1 × 5 =
0.5
Check for
x = 10:
→ y = 0.1 × 10 =
1.0
Check for
x = 15:
→ y = 0.1 × 15 =
1.5
Check for
x = 20:
→ y = 0.1 × 20 =
2.0
Check for
x = 25:
→ y = 0.1 × 25 =
2.5
Now let’s compare these results to each table:
-
Table F: All y-values are 0.1 →
✘ Wrong. Distance should increase with time.
-
Table H: At x=5, y=0.1 → but it should be 0.5 →
✘ Wrong.
-
Table G:
- x=5 → y=0.5
✔
- x=10 → y=1.0
✔
- x=15 → y=1.5
✔
- x=20 → y=2.0
✔
- x=25 → y=2.5
✔ → ✔️ This matches!
-
Table J: Adds 0.1 to x? That doesn’t make sense — distance isn’t time + 0.1 →
✘ Wrong.
So only Table G correctly follows the rule:
y = 0.1 × x
Final Answer: G
Parent Tip: Review the logic above to help your child master the concept of constant rate of change worksheet with answers.
