Question

16. During the initial week that a movie was in theaters, 1 million people saw the movie. Each week going forward, half the number of people saw the movie as did the previous week (it must not have been very good). How many people saw the movie in the fifth week? a. 500,000 b. 250,000 C. 62,500 d. 31,250

Answer 1

Answer:

C. 62,500

Explanation:

Week 1: 1 million

For each week going forward, half the number of people saw the movie as did the previous week.

Therefore:

$\text{Week 2=}\frac{1}{2}\times1,000,000=500,000$$\begin{gathered} \text{Week 3=}\frac{1}{2}\times500,000=250,000 \\ \text{Week 4=}\frac{1}{2}\times250,000=125,000 \\ \text{Week 5=}\frac{1}{2}\times125,0000=62,500 \end{gathered}$

Therefore, the number of people who saw the movie in the fifth week was 62,500.