Your membership at a movie rental club costs
$12.7 per year. The charge for members to
rent a movie is $2.29. At the end of the year
you figured that the average cost per movie
(including the membership fee) was $2.46.
How many movies did you rent?
What's a "movie rental club" ?? , the last Blockbuster closed years ago. Time to get a new textbook.
number of movies rented ----- x
cost for year = 12.7 + 2.29x
average cost = (12.7 + 2.29x)/x = 2.46
2.46x = 12.7 + 2.29x
solve for x , I did not get a whole number as expected.
To solve this problem, we need to determine how many movies were rented based on the given information.
Let's assume the number of movies rented is "x".
The cost of the membership for the year is $12.7.
The cost to rent each movie is $2.29.
According to the information, the average cost per movie (including the membership fee) was $2.46.
So, we can set up the equation:
Total cost = Membership fee + (Cost per movie * Number of movies)
$2.46 * x = $12.7 + ($2.29 * x)
Now, let's solve this equation to find the value of "x", which represents the number of movies rented.
$2.46x = $12.7 + $2.29x
$2.46x - $2.29x = $12.7
$0.17x = $12.7
x = $12.7 / $0.17
x ≈ 74.7
Therefore, you rented approximately 74 movies during that year.