Question

The function `c=45n+5` can be used to determine the cost, c, for a person to purchase n tickets to a concert. Each person can purchase at most 6 tickets. What is an appropriate domain for the function?

Answer 1

`0 <= n <=6`

Explanation:

Basically the 'domain' is the set of input values. In other wards it is all the permitted independent variable values.

Suppose you had the equation:`" "y=2x`
Then for this equation the domain is all the values that may be assigned to the independent variable `x`

Domain: The values you may chose to assign.
Range: The related answers.
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For the given equation: `c=45n+5`

`n` is the independent variable which logically would be the count of tickets.

We are told that no more than 6 tickets may be purchased by any one person. So `n` can only take on the whole number values between and including 0 to 6

So the domain is written as: `" "0 <= n <=6`
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~~~~~~~~~~~~~~~ Memory aid ~~~~~~~~~~~~~~~~~~~~~~~~~~~
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In the alphabet d for domain comes before r for range

You have to 'plug' in a value before you get your answer

So d first `->` input first
and r next `->` answer second

`d->" input "`
`r->" output"`