Ques 4 What type of relation exhibits direct variation? Select all that apply.
1 answer:
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Answer:
Step-by-step explanation:
You wrote the formula incorrectly. It is, correctly:
The k has to be a negative in the formula; if it's not, the time ends up as negative, which will NEVER be the case (unfortunately, time does not go backwards).
If the skeleton contains 67% of the C-14 it contained when the bird was alive, that 67 is our "N". When the bird was alive, it contained 100% of its C-14; so is 100. We know k, e is Euler's number, and we are looking for t.
Begin by dividing both sides by 100 to get
To get that t out from its current exponential position, we take the natural log of both sides. We do this because 1. it's the only way to get an exponent down from that position and 2. because natural logs and e are inverses of each other; natural logs "undo" e's and e's "undo" natural logs.
Again, because e and ln undo each other:
ln(.67) = -.0001t and solve for t. Take the natural log of .67 on your calculator and get
-.4004775666 = -.0001t and
t = 4004.7 years
Answer:
, which is the third function listed among the possible answers.
Step-by-step explanation:
Notice that these are all exponential functions, that contain just "x" in the exponent, and one "1' as the accompanying coefficient. So, in order to decide which ones are increasing, we need to study the base of the expression with exponent "x".
If the base is a number smaller than one, the function is decreasing.
If the base is a number larger than one, the exponential function is increasing.
Therefore, the only one that shows a larger than one base is the third one :
which is therefore the only increasing function of the group.
