Final answer:
Using exponential growth, we can calculate that on the 15th day, 'The Hunger Games' was grossing $15,776,000 after starting with $493,000 on the first day and doubling every three days.
Step-by-step explanation:
Calculating Movie Gross on the 15th Day
To calculate the amount the movie 'The Hunger Games' was grossing on the 15th day, we can use the fact that box sales doubled every three days. Starting with the initial amount of $493,000 on the first day, we can determine the amount for every third day as follows:
- Day 1: $493,000
- Day 4: $493,000 * 2 = $986,000
- Day 7: $986,000 * 2 = $1,972,000
- Day 10: $1,972,000 * 2 = $3,944,000
- Day 13: $3,944,000 * 2 = $7,888,000
By day 15, the movie will have continued to gross twice the amount from day 13. Therefore, the gross on the 15th day would be:
$7,888,000 * 2 = $15,776,000
On the 15th day, 'The Hunger Games' was grossing $15,776,000.