In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft. For a group of 1013 adults, the m
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Answer:
Proportionality constant =
Step-by-step explanation:
From the graph attached,
Data set representing the relation between seeing lightning and the hearing thunder is,
{(15, 3), (25, 5), (35, 7), (45, 9)}
Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)
d = kt
Here k = proportionality constant
k =
From the data set one point is (15, 3).
k =
k = miles per second
Therefore, proportionality constant is miles per second.
The last image is the graph of
In fact, it is an increasing exponential function, and it passes through the points , which reflects the fact that
and
, which reflects the fact that
.
Now, is a child of the parent function we just described. Precisely, it is the result of the transformation
In general, every time you perform a transformation like , you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case , we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function