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KKHeffner02
15.04.2020 •
Mathematics
Xcel energy uses the equation c (x) =7.1+23logx to determine the cost of electricity for x hours. A. What would the function c^-1(x) allow you to calculate. B. Find c^-1(x). C. If a customer can afford $15 per month for electricity, how long can he or she have electricity turned on?
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Ответ:
Step-by-step explanation:
Note that the cost function is
, which gives us the cost of electricity for x hours of consumption
a). The function![c^{-1}(x)[tex] which is the inverse function, tells us given a cost, the amount of hours we can consume electricty. b) Consider the equation [tex]y=7.1+23\ln(x)](/tpl/images/0602/2819/5089f.png)
To find out the inverse function, we interchange the labels of x and y and solve for y, that is
when solved for y we have
So the inverse function is given by
.
c) We will use the inverse function to find the amount of hours the customer can use eelectricity. It is simple obtained by evaluating the inverse function at the desired cost (i.e
)
that is
that is, the custome can consume at most 1.41 hours of electricity.
Ответ:
Please read the answer below
Step-by-step explanation:
We have the function
A. With c^{-1}(x) we can calculate the hours of electricity for a definite cost
B.
c^{-1} can be calculated by taking into account that:
the denominator must be different of zero, hence we have for x:
x must be different of 0.48
C.
By taking apart the function c(x) we have:
x=2.2h
hope this helps!
Ответ:
Set D
Step-by-step explanation:
There's 2 different y-values for the x value, 2 in Set D