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A local drive-in theatre sells entrance tickets for cars on weekend nights. At capacity , the drive in can hold 72 cars. The function c(n)=25n represents the drive-ins revenue on a weekend night, where n represents the number of cars. In this situation, what is the domain of C(n)?

Respuesta :

Matematico
The domain is 0 < n < 75 (The maximum amount of cars is 75) also those are GREATER THEN OR EQUAL TO, not greater than
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You know what i mean?
Louli

Answer:

Domain is: 0 ≤ n ≤ 75 where n is an integer


Explanation:

The given function is:

C(n) = 25n

Domain of the function is defined as the values of n which we can use to substitute in the equation


Now, in our equation, n represents the number of cars. This means that n has to be positive integer because we can neither have negative number of cars nor fraction of a car. Therefore, n would start from 0 and count integers


The second thing is that the maximum capacity is 75. This means that n cannot exceed 75 cars in the drive-in


From the above, we can deduce that n can be any integer starting from 0 till 75 (inclusive)


This means that our domain is:

0 ≤ n ≤ 75 where n is an integer


Hope this helps :)

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