x: 0, 2, 4, 6 ,8
y: 1, 49, 2401, 117,649
How do the y-values in the table grow?
A. The y-values increase by a factor of 49 for each x increase of 1.
B. The y-values increase by 49 for each x increase of 1.
C. The y-values increase by a factor of 7 for each x increase of 1.
D. The y-values increase by 7 for each x increase of 1.
Looks like C to me
Note that in the table, y increases by a factor of 49 for each x-increase of 2.
i think is b
To determine how the y-values in the table grow, we can analyze the relationship between the x-values and the corresponding y-values in the table.
Looking at the x-values in the table (0, 2, 4, 6, 8), we can observe that they increase by a constant value of 2 for each subsequent x.
Now let's examine the corresponding y-values (1, 49, 2401, 117,649). To determine how these y-values grow, we can compare the ratio between consecutive y-values and the ratio between consecutive x-values.
Between the first two y-values, we have: 49/1 = 49.
Between the second and third y-values: 2401/49 = 49.
Between the third and fourth y-values: 117,649/2401 = 49.
This consistent ratio of 49 indicates that the y-values increase by a factor of 49 for each x increase of 2.
Therefore, the correct answer is: A. The y-values increase by a factor of 49 for each x increase of 2.