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.

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

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.