Question

MovieFlix charges an annual fee of $35 plus $3.50 per movie you stream online. CineView has no annual fee, but charges $4.25 per movie watched. For how many movies is the cost of the plans the same? # of movies

Answer 1

x is the number of movies for the cost of the plan to be the same.

4.25x=36+3.5x

4.25x-3.5=36

0.75x=36

x=36/0.75

x=48

Answer 2

Write an equation for each one:

Let the number of movies rented = x

Movieflix: 35 + 3.50x

Cineview: 4.25x

Set them equal to each other to solve for x

35 + 3.50x = 4.25x

Subtract 3.50x from both sides:

35 = 0.75x

Divide both sides by 0.75

X = 35/0.75

X = 46 2/3 movies

There isn’t a whole number of movies that make the cost identical.

Round to 47 movies

Movieflix: 35 = 3.50(47) = 35 + 164.50 = $199.50

Cineview: 4.25(47) = $199.75