A movie store sells DVDs for $11 each. What is the cost C of n DVDs? Identify the situation as discrete or continuous.
a. C=11n;continuous***
b. C=11+n;discrete
c. C=11+n;continuous
d. C=11n;discrete
The cost C of n DVDs at the movie store is given by the formula C = 11n. In this formula, '11' represents the cost of each DVD, and 'n' represents the number of DVDs.
To calculate the cost of n DVDs, you multiply the cost of each DVD ($11) by the number of DVDs (n). Therefore, the formula C = 11n represents the situation accurately.
In terms of whether the situation is discrete or continuous, it is important to understand the difference between the two. Discrete situations involve distinct and separate values, such as counting the number of DVDs, which is a whole number. On the other hand, continuous situations involve values that can take on any real number within a certain range, such as measuring time or weight.
In this case, the number of DVDs n is a discrete variable because it represents a whole number. However, the cost C is a continuous variable because it can take on any real number depending on the number of DVDs purchased.
Therefore, the correct answer is:
d. C = 11n; discrete