Rocky has 7 bottles of water. He will buy bottles of water from the store. The store

has 8 cases in stock and each case contains 24 bottles of water. The store will not

sell partial cases. The function that models the number of bottles of water Rocky

will have after his purchase is f(c)= 24c + 7. where c is the number of cases

of water he buys.

What is the theoretical domain of the function?

All real numbers

All real numbers from 1 to 8, inclusive

{31, 55, 79, 103, 127, 151, 175, 199}

All integers from 1 to 8, inclusive

Given : Rocky has 7 bottles of water. He will buy bottles of water from the store. The store has 8 cases in stock and each case contains 24 bottles of water. The store will not sell partial cases.

The function that models the number of bottles of water Rocky will have after his purchase is [tex]f(c)= 24c + 7[/tex]. where c is the number of cases of water he buys.

To find : What is the theoretical domain of the function?

Solution :

The domain is defined as the x values of the function.

Function is [tex]f(c)= 24c + 7[/tex]

The theoretical domain is the value of c.

We have given that c is the number of cases i.e. c=8.

So, The domain of the function is all integers from 1 to 8, inclusive.

Therefore, Option 4 is correct.