Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
2. Patterns and Linear Functions
Continue to next subchapter

Exercise 20 Page 245

Try to write a function for the both cases.

Yes, see solution.

Practice makes perfect

When a film is projected, a certain number of frames pass through the projector per minute. We have been given two different cases for this situation. Let's examine the both cases separately and see which one is correct.

First Case

In this case, we say that the length of the movie in minutes l is a function of the number of frames n. Let's see if we can express this statement as a function. Let T be the total number of frames in the movie, and then we can write the following function. Function I: l=T/n Since we are able to write the statement as a function depending on n, we can say that our statement is true.

Second Case

Someone else says that the number of frames n is a function of the length of the movie l. Again, let's see if we can express this statement as a function. If we let T be the total number of frames in the movie, and then we can write the function below. Function II: n=T/l This statement has also been written as a function depending on l. Therefore, it is true. As a result, both statements are correct.