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Note: It seems you forgot to add the complete question as the answer choices are missing. But, after a little research I am able to find the complete question. So, I am assuming that this was the complete question and I am answering based on this complete question which anyways would clear your concept.
In which of the following functions would it be appropriate to use only positive integers for the domain? Select all that apply.
The function c(p) represents The cost for P people to attend the movies. The function m(t) represents the miles driven over T hours.
The function t(m) represents the average high temperature for a given number of months.
The function p(w) represents the prophet of a farmer who sells whole watermelons.
The function h(n) represents the number of person-hours it takes to assemble n engines in a factory.
Answer Explanation:
As we know that domain is the set of all possible input values x where the functions is defined.
So, following are the functions where it is suitable to use only positive integers for the domain.
The function c(p) represents The cost for P people to attend the movies.
It is appropriate to use positive integers for the function c(p) as it involves people and people can not be negative. Though total number of people can be zero.
The function m(t) represents the miles driven over T hours
It is appropriate to use positive integers for the function m(t) as it involves hours and hours can not be negative. Hours start with 1.
The function t(m) represents the average high temperature for a given number of months.
It is appropriate to use positive integers for the function t(m) as it involves the number of months and months can not be negative. Months start with 1.
The function p(w) represents the prophet of a farmer who sells whole watermelons.
It is appropriate to use positive integers for the function p(w) as it involves watermelon and watermelons can not be negative. The possible count of watermelon starts with 1.
The function h(n) represents the number of person-hours it takes to assemble n engines in a factory.
It is appropriate to use positive integers for the function h(n) as it involves number of engines and engines can not be negative. The possible count of engines starts with 1.
Keywords: positive integer, domain
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