An online movie streaming plan charges an annual fee of $45 plus $2.50 per movie watched. Another plan has no annual fee but charges $3.75 per movie watched. For how many movies is the cost of the plans the same?

Question

An online movie streaming plan charges an annual fee of $45 plus $2.50 per movie watched.  Another plan has no annual fee but charges $3.75 per movie watched.  For how many movies is the cost of the plans the same?

Ethan Adkins · Accepted Answer

#36# movies.

Setup the equation like this #45 + 2.50x = 3.75x # Here Now we solve for #x#. Move #x# to one side by subtracting #2.50x# on each side #45 = 1.25x# We want #x# by itself, so divide #45# by each side. #45/1.25 = x# #x = 36#

Abigail Allen · Answer

undefined To find the number of movies for which the cost of both plans is the same, set the total cost of each plan equal to each other:

Plan 1: $45 + 2.50x$

Plan 2: $3.75x$

Where $x$ represents the number of movies watched.

Setting the costs equal to each other:

$45 + 2.50x = 3.75x$

Subtracting $2.50x$ from both sides:

$45 = 1.25x$

Dividing both sides by 1.25:

$x = \frac{45}{1.25}$

$x = 36$

So, the cost of the plans is the same for 36 movies.