The Weekly Rentals for a Newly Released DVD of an Animated

question 52

Multiple Choice

The weekly rentals for a newly released DVD of an animated film at a local video store decreased each week.At the same time,the weekly rentals for a newly released DVD of a horror film increased each week.Models that approximate the weekly rentals R for each DVD are​ $$\left\{ \begin{array} { l l } R = 380 - 24 x & \text { Animated film } \\R = 28 + 20 x & \text { Horror film }\end{array} \right.$$ ​ where x represents the number of weeks each DVD was in the store,with x = 1 corresponding to the first week.After how many weeks will the rentals for the two movies be equal?
​

• A)10 weeks
• B)6 weeks
• C)4 weeks
• D)12 weeks
• E)8 weeks

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Definitions:

Probability

A numerical measure of the likelihood that an event will occur.

Value(s)

Represents the magnitude, amount, or number in a given context, or the worth of something.

Test Statistic

A calculated value from sample data that is used in a hypothesis test to determine whether to reject the null hypothesis.

Test Statistic

A statistical measure computed to assess the evidence against a null hypothesis in a testing framework.