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Rate of Change from a Table — Easy Worksheet 1
Grade 8 · Whoobee Name: ____________________ Date: __________
Find the rate of change shown in each table. A rate of change is negative when y decreases. Write fractions in lowest terms (for example 3/2).
How to solve
Rate of change = (change in y) ÷ (change in x). Pick two rows of the table, subtract the y-values and subtract the x-values in the same order, then divide. If y goes down as x goes up, the rate of change is negative. When x goes up by 1 each row, the rate is simply how much y changes from one row to the next.
Example
What is the rate of change of the function in the table?
| x | y |
|---|---|
| 3 | 20 |
| 4 | 23 |
| 5 | 26 |
| 6 | 29 |
| 7 | 32 |
Answer: 3
| x | y |
|---|---|
| 4 | 19 |
| 5 | 21 |
| 6 | 23 |
| 7 | 25 |
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 19 to 21. The change in y is 21 − 19 = 2 while x goes up by 1, so the rate of change is 2.
✓ Correct!
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 19 to 21. The change in y is 21 − 19 = 2 while x goes up by 1, so the rate of change is 2.
💡 How to solve: Rate of Change from a Table
Rate of change = (change in y) ÷ (change in x). Pick two rows of the table, subtract the y-values and subtract the x-values in the same order, then divide. If y goes down as x goes up, the rate of change is negative. When x goes up by 1 each row, the rate is simply how much y changes from one row to the next.
Try a similar one
What is the rate of change of the function in the table?
| x | y |
|---|---|
| 1 | 13 |
| 2 | 17 |
| 3 | 21 |
| 4 | 25 |
| 5 | 29 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 4 | 12 |
| 5 | 14 |
| 6 | 16 |
| 7 | 18 |
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 12 to 14. The change in y is 14 − 12 = 2 while x goes up by 1, so the rate of change is 2.
✓ Correct!
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 12 to 14. The change in y is 14 − 12 = 2 while x goes up by 1, so the rate of change is 2.
💡 How to solve: Rate of Change from a Table
Rate of change = (change in y) ÷ (change in x). Pick two rows of the table, subtract the y-values and subtract the x-values in the same order, then divide. If y goes down as x goes up, the rate of change is negative. When x goes up by 1 each row, the rate is simply how much y changes from one row to the next.
Try a similar one
What is the rate of change of the function in the table?
| x | y |
|---|---|
| 0 | 12 |
| 1 | 14 |
| 2 | 16 |
| 3 | 18 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 4 | 6 |
| 5 | 7 |
| 6 | 8 |
| 7 | 9 |
| 8 | 10 |
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 6 to 7. The change in y is 7 − 6 = 1 while x goes up by 1, so the rate of change is 1.
✓ Correct!
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 6 to 7. The change in y is 7 − 6 = 1 while x goes up by 1, so the rate of change is 1.
💡 How to solve: Rate of Change from a Table
Rate of change = (change in y) ÷ (change in x). Pick two rows of the table, subtract the y-values and subtract the x-values in the same order, then divide. If y goes down as x goes up, the rate of change is negative. When x goes up by 1 each row, the rate is simply how much y changes from one row to the next.
Try a similar one
What is the rate of change of the function in the table?
| x | y |
|---|---|
| 0 | 0 |
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
| 4 | 8 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 2 | 15 |
| 3 | 19 |
| 4 | 23 |
| 5 | 27 |
Not quite. The answer is
💡 From x = 2 to x = 3, y goes from 15 to 19. The change in y is 19 − 15 = 4 while x goes up by 1, so the rate of change is 4.
✓ Correct!
Not quite. The answer is
💡 From x = 2 to x = 3, y goes from 15 to 19. The change in y is 19 − 15 = 4 while x goes up by 1, so the rate of change is 4.
💡 How to solve: Rate of Change from a Table
Rate of change = (change in y) ÷ (change in x). Pick two rows of the table, subtract the y-values and subtract the x-values in the same order, then divide. If y goes down as x goes up, the rate of change is negative. When x goes up by 1 each row, the rate is simply how much y changes from one row to the next.
Try a similar one
What is the rate of change of the function in the table?
| x | y |
|---|---|
| 3 | 8 |
| 4 | 10 |
| 5 | 12 |
| 6 | 14 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 4 | 14 |
| 5 | 16 |
| 6 | 18 |
| 7 | 20 |
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 14 to 16. The change in y is 16 − 14 = 2 while x goes up by 1, so the rate of change is 2.
✓ Correct!
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 14 to 16. The change in y is 16 − 14 = 2 while x goes up by 1, so the rate of change is 2.
💡 How to solve: Rate of Change from a Table
Rate of change = (change in y) ÷ (change in x). Pick two rows of the table, subtract the y-values and subtract the x-values in the same order, then divide. If y goes down as x goes up, the rate of change is negative. When x goes up by 1 each row, the rate is simply how much y changes from one row to the next.
Try a similar one
What is the rate of change of the function in the table?
| x | y |
|---|---|
| 2 | 10 |
| 3 | 14 |
| 4 | 18 |
| 5 | 22 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 3 | 14 |
| 4 | 16 |
| 5 | 18 |
| 6 | 20 |
Not quite. The answer is
💡 From x = 3 to x = 4, y goes from 14 to 16. The change in y is 16 − 14 = 2 while x goes up by 1, so the rate of change is 2.
✓ Correct!
Not quite. The answer is
💡 From x = 3 to x = 4, y goes from 14 to 16. The change in y is 16 − 14 = 2 while x goes up by 1, so the rate of change is 2.
💡 How to solve: Rate of Change from a Table
Rate of change = (change in y) ÷ (change in x). Pick two rows of the table, subtract the y-values and subtract the x-values in the same order, then divide. If y goes down as x goes up, the rate of change is negative. When x goes up by 1 each row, the rate is simply how much y changes from one row to the next.
Try a similar one
What is the rate of change of the function in the table?
| x | y |
|---|---|
| 3 | 12 |
| 4 | 16 |
| 5 | 20 |
| 6 | 24 |
| 7 | 28 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 4 | 18 |
| 5 | 20 |
| 6 | 22 |
| 7 | 24 |
| 8 | 26 |
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 18 to 20. The change in y is 20 − 18 = 2 while x goes up by 1, so the rate of change is 2.
✓ Correct!
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 18 to 20. The change in y is 20 − 18 = 2 while x goes up by 1, so the rate of change is 2.
💡 How to solve: Rate of Change from a Table
Rate of change = (change in y) ÷ (change in x). Pick two rows of the table, subtract the y-values and subtract the x-values in the same order, then divide. If y goes down as x goes up, the rate of change is negative. When x goes up by 1 each row, the rate is simply how much y changes from one row to the next.
Try a similar one
What is the rate of change of the function in the table?
| x | y |
|---|---|
| 1 | 10 |
| 2 | 12 |
| 3 | 14 |
| 4 | 16 |
| 5 | 18 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
| x | y |
|---|---|
| 4 | 24 |
| 5 | 28 |
| 6 | 32 |
| 7 | 36 |
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 24 to 28. The change in y is 28 − 24 = 4 while x goes up by 1, so the rate of change is 4.
✓ Correct!
Not quite. The answer is
💡 From x = 4 to x = 5, y goes from 24 to 28. The change in y is 28 − 24 = 4 while x goes up by 1, so the rate of change is 4.
💡 How to solve: Rate of Change from a Table
Rate of change = (change in y) ÷ (change in x). Pick two rows of the table, subtract the y-values and subtract the x-values in the same order, then divide. If y goes down as x goes up, the rate of change is negative. When x goes up by 1 each row, the rate is simply how much y changes from one row to the next.
Try a similar one
What is the rate of change of the function in the table?
| x | y |
|---|---|
| 3 | 12 |
| 4 | 14 |
| 5 | 16 |
| 6 | 18 |
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Rate of Change from a Table — Easy Worksheet 1
Find the rate of change shown in each table. A rate of change is negative when y decreases. Write fractions in lowest terms (for example 3/2).