Frank reads at least 24 pages but not more than 36 pages of a book. He reads 12 pages per hour.

The number of hours Frank reads p pages is modeled by a function.
 
t(p)= p/12

1.) All real numbers from 2 to 3, inclusive.
2.) All real numbers.
3.) All real numbers from 24 to 36, inclusive.
4.) All multiples of 12 between 24 and 36, inclusive.

 

The correct answer is 3.) All real numbers from 24 to 36, inclusive.

According to the information given, Frank reads at least 24 pages and not more than 36 pages. Therefore, the number of pages, p, that Frank reads can take any real value between 24 and 36, inclusive.

The function t(p) = p/12 represents the number of hours it takes Frank to read p pages. Since p can take any real value between 24 and 36, t(p) can take any real value between 24/12 = 2 and 36/12 = 3, inclusive.

So, the function t(p) is only defined for all real numbers from 24 to 36, inclusive.

To determine the answer, we need to find the range of values for p that fall within the given conditions.

The conditions state that Frank reads at least 24 pages but not more than 36 pages. Therefore, p should be between 24 and 36, inclusive.

Now, let's investigate the function t(p) = p/12 to determine its behavior.

Since Frank reads 12 pages per hour, the function t(p) measures the number of hours it takes for Frank to read p pages. This can be determined by dividing the number of pages by 12.

For example, if p = 24, then t(p) = 24/12 = 2 hours. If p = 36, then t(p) = 36/12 = 3 hours.

Considering all these factors, the correct answer is option 3: All real numbers from 24 to 36, inclusive. This represents all the possible values of p within the given conditions.