Question

I really need help with these questions 5. Wesley subscribes to telecommunications company's movie package The plan includes a basic monthly charge of $40 and an additional charge of $ 1.50 for every movie ordered. Another telecommunications company's movie package deal is a monthly charge of $ 30 and a charge of $2 per movie ordered Wesley better off to stay with his current deal? A.) Write an equation and solve it to determine how many movies Wesley would need to rent for the price to be the same at each company. B.) How much would it cost? Show your work

Answer 1

20 movies ; $70

Explanation:

Company 1:

Monthly charge = $40 ; additional = 1.5 per movie

Let number of movies = x ; t = cost

Equation 1:

y = 40 + 1.5x

Company 2:

Monthly charge = $30

Additional = $2 per movie

Equation 2:

y = 30 + 2x

1) for equation 1 = equation 2

40 + 1.5x = 30 + 2x

40 - 30 = 2x - 1.5x

10 = 0.5x

x = 10/0.5

x = 20

Hence, 20 movies

B.)

y = 30 + 2x

y = 30 + 2(20)

y = 30 + 40

y = $70