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Maya is deciding between two different movie streaming sites to subscribe to. Plan A
costs $31 per month plus $1.50 per movie watched. Plan B costs $35 per month plus
$0.50 per movie watched. Let A represent the monthly cost of Plan A if Maya
watches x per month, and let B represent the monthly cost of Plan B if Maya watches
x movies per month. Write an equation for each situation, in terms of x, and
determine the interval of movies watched, x, for which Plan A is cheaper than Plan B.

Respuesta :

theschoolsweeb

Answer:

36 movies.

Step-by-step explanation:

45

+

2.50

x

=

3.75

x

Here

x

=

NUMBER OF MOVIES

45

=

Annual rate

2.50

=

price of movie with annual fee

3.75

=

price of movie with no fee

Now we solve for

x

. Move

x

to one side by subtracting

2.50

x

on each side

45

=

1.25

x

We want

x

by itself, so divide

45

by each side.

45

1.25

=

x

x

=

36

raphealnwobi

The interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4

Let x represent the number of movies watched per month.

Plan A  costs $31 per month plus $1.50 per movie watched, hence:

A = 1.5x + 31

Plan B costs $35 per month plus  $0.50 per movie watched, hence:

B = 0.5x + 35

For plan A to be cheaper than plan B:

1.5x + 31 < 0.5x + 35

x < 4

But the number of movies watched must be greater than 0, hence:

0 < x < 4

Therefore, the interval of movies watched, x, for which Plan A is cheaper than Plan B is 0 < x < 4

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