Find the unit rate: $23.96 for 4 pounds
2 answers:
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Answer:
a. Decay
b. 0.5
c. 4
Explanation:
If we have a function of the form
then
a = intital amount
b = growth / decay rate factor
x = time interval
If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.
Now in our case, we have
Here we see that
inital amount = a = 4
b = 1/ 2 < 0, meaning the function is modeling decay
decay factor = b = 1/2
Therefore, the answers are
a. Decay
b. 0.5
c. 4
Answer:
In this problem, we are given the following functions:
and its inverse function:
First of all, we want to calculate . This can be obtained by substituting
x = 2
into f(x). Doing so, we find:
Then we want to calculate . We can do it by substituting
x = 1
into . Doing so,
Then we want to calculate , which can be found by calculating f(2) and then using it as input for
We know that
f(2) = 1
Therefore,
Then we want to calculate , which can be calculated by plugging
x = -2
into . Doing so,
Then we want to calculate ; by substituting
x = 4
into f(x), we find
Finally, we want to find
We know already that
So we have: