Question

A store sells previously viewed movies. The table shows the cost of buying 1, 2, 3, or 4 movies.



a. Which mapping diagram represents the data in the table
Question 2
b. Is the relation a function? Explain.

Each input has exactly one output. Therefore, the relation is a function.


Question 3
c. Describe the pattern. How does the cost per movie change as you buy more movies?

The pattern is that for each input
increase
of
1
, the output
increases
by $1,2,3,4,6,12
less than the previous increase. For each additional movie you buy, your cost per movie
decreases
by $1,2,3,4,6,12

how much did the output increase in dollars and how much did the movie decrease

Answer 1

A relation may or may not represent a function.

• The relation of the movie and its costs is a function.
• The pattern is that, as unit cost of each movie decreases as the number of movies increases.

The costs are given as:

• 1 movie costs $10
• 2 movies cost $18
• 3 movies cost $24
• 4 movies cost $28

(a) The mapping diagram

To do this, we simply point the number of movies, to the corresponding costs, using arrows

See attachment for the mapping diagram.

(b) Is the relation a function

From the attached mapping, we can see that:

The costs of each movie are different.

This means that: the relation is a function.

(c) Describe the pattern

Notice that as the number of movies increases, the cost also increases;

However, the unit cost decreases.

Hence, the unit cost of each movie decreases as the number of movies increases.

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