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?
2.29 m + 12.7 = 2.46 m
To find out how many movies you rented, we can set up an equation based on the given information.
Let's denote the number of movies you rented as "x".
The total cost of renting movies is the sum of the membership fee and the charges for renting the movies. So, the equation is:
x * $2.29 + $12.7 = $2.46 * x
Next, we can solve this equation to find the value of "x". Let's simplify the equation step by step:
2.29x + 12.7 = 2.46x [distributing]
12.7 = 2.46x - 2.29x [combining like terms]
12.7 = 0.17x [simplifying]
To solve for "x", divide both sides of the equation by 0.17:
x = 12.7 / 0.17
Using a calculator, we find:
x ≈ 74.706
Since you can't rent a fraction of a movie, the closest whole number to 74.706 is 75. Therefore, you rented approximately 75 movies.