Drag each sequence to show whether it is a linear function, an exponential function, or
2 answers:
Answer:
Step-by-step explanation:
From the picture attached,
Option A
From the given table,
Ratio of the 2nd value and 1st value =
Ratio of 3rd value and 2nd value =
There is a common ratio of 2.
Therefore, the given table will represent an exponential function.
Option B
Given recursive formula of the sequence is,
From this recursive formula sequence will be,
3, 15, 75, 375,.......
Therefore, it's an exponential function.
Option C
Given function is in the form of a linear function (y = mx + b),
Therefore, it's a linear function.
Option D
From the given table,
Difference between 2nd value to the 1st value = 8 - 4 = 4
Difference between 3rd value to the 2nd value = 12 - 8 = 4
Therefore, there is a common difference of 4 in each successive term to the previous term.
Hence, the given table represents a linear function.
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The linear equation B. y = -x +7.5 best describes the given model. The mood rating for a student that spent 5.5 hours online would be 2.
Step-by-step explanation:
Step 1; We plot the points that fall on the line and that lie on an exact x or y coordinate. The following 4 points are plotted (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4). We substitute the values of x in the given equations to see which best describes the model.
Step 2; When y = x + 7.5, we get the coordinates as (0.5, 8), (2, 9.5), (2.5, 10) and (3.5, 11).
When y = -x + 7.5, the coordinates are (0.5, 7), (2, 5.5), (2.5, 5) and (3.5, 4).
When y = + 7.5, the coordinates are (0.5, 7.25), (2, 6.5), (2.5, 6.25) and (3.5, 5.75).
So equation 2 has the closest values to the actaul graph.
Step 3; By substituting x = 5.5, y = -(5.5) + 7.5 = 7.5 - 5.5 = 2.