Question
• Linear Function 2:
х У
0 12
4 24
Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
х У
0 12
4 24
Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
Answers
GPT 3.5
To compare the rate of change of Linear Function 1 with Linear Function 2, we can look at their respective slopes. The slope of a linear function represents the rate of change.
Let's calculate the slope for each function using the given data points:
For Linear Function 1:
(x, y)
(0, 6)
(4, 12)
Slope = (change in y) / (change in x)
= (12 - 6) / (4 - 0)
= 6 / 4
= 1.5
For Linear Function 2:
(x, y)
(0, 12)
(4, 24)
Slope = (change in y) / (change in x)
= (24 - 12) / (4 - 0)
= 12 / 4
= 3
The slope of Linear Function 2 is 3, which is greater than the slope of Linear Function 1, which is 1.5. Therefore, Linear Function 2 has the greater rate of change.
Let's calculate the slope for each function using the given data points:
For Linear Function 1:
(x, y)
(0, 6)
(4, 12)
Slope = (change in y) / (change in x)
= (12 - 6) / (4 - 0)
= 6 / 4
= 1.5
For Linear Function 2:
(x, y)
(0, 12)
(4, 24)
Slope = (change in y) / (change in x)
= (24 - 12) / (4 - 0)
= 12 / 4
= 3
The slope of Linear Function 2 is 3, which is greater than the slope of Linear Function 1, which is 1.5. Therefore, Linear Function 2 has the greater rate of change.