There are 32 peanuts in a bag and. Elliot Takes 25% of the peanuts from the bag. Then Marie takes 50% of the remaining peanuts .
1 answer:
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Answer:
Step-by-step explanation:
We write a function f(x) which gives the values of the function that are dependent on the independent variable "x".
Given: The number of miles on the odometer can be represented by the equation y = x + 40, 000, where y is the number of miles on the odometer, and x is the number of miles you have driven it.
Here y is dependent on x, so we replace y by f(x), then we get
which is the required answer.
The question is an illustration of composite functions.
- Functions c(n) and h(n) are
and
- The composite function c(n(h)) is
- The value of c(n(100)) is
- The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>
The given parameters are:
- $5000 in fixed costs plus an additional $250
- 5 systems in one hour of production
<u>(a) Functions c(n) and n(h)</u>
Let the number of system be n, and h be the number of hours
So, the cost function (c(n)) is:
This gives
The function for number of systems is:
<u>(b) Function c(n(h))</u>
In (a), we have:
Substitute n(h) for n in
Substitute
<u>(c) Find c(n(100))</u>
c(n(100)) means that h = 100.
So, we have:
<u>(d) Interpret (c)</u>
In (c), we have:
It means that:
The cost of working for 100 hours is $130000
Read more about composite functions at: