A internet movie rental company has two different options for renting movies. Option A: pay a one-time $40 membership fee and then pay $1 for each movie rental.
Option B: Do not become a member and pay $6 for each movie rental.
1. Write an expression to represent the Total cost for Option A
2. Write an expression to represent the Total cost for Option B
3. Set the two equations equal to each other and solve for x
1. $40 + $1x
2. $6x
3. You do this.
1. To represent the total cost for Option A, we need to consider the membership fee of $40 and then add the cost of each movie rental at $1 per movie. Let's assume x is the number of movie rentals. The expression for the total cost for Option A is:
Total cost for Option A = $40 + $1 * x
2. For Option B, there is no membership fee, so the total cost is simply the cost of each movie rental at $6 per movie rental. Again, assuming x is the number of movie rentals, the expression for the total cost for Option B is:
Total cost for Option B = $6 * x
3. To set the two equations equal to each other and solve for x, we will equate the expressions for the total cost for Option A and Option B:
$40 + $1 * x = $6 * x
Now, we can solve for x by isolating it on one side of the equation:
$40 = $6 * x - $1 * x
$40 = ($6 - $1) * x
$40 = $5 * x
Dividing both sides of the equation by $5 gives us:
$40 / $5 = x
8 = x
So, the value of x is 8. Therefore, when the total number of movie rentals is 8 or more, Option A is more cost-effective.