Question

An online video streaming service offers two plans for unlimited streaming. Plan A has a one-time $25 membership fee and is $8 per month. Plan B

has a $5 membership fee and is $12 per month.
A. Determine when Plan A and Plan B will cost the same amount by solving the
system of equations. Show your work.

Answer 1

The answer is that both plans are equal.

Explanation:

you start by putting the plans into an equation then you set them equal to each other. you need to assign a variable for the number of months. we'll call it M. It would look like this:

plan A - 25 + 8M

plan B - 5 + 12M

25 + 8M = 5 + 12M

Then you solve which looks like this:

25 + 8M = 5 + 12M

-8M -8M

25 = 5 + 4M

-5 -5

20 = 4M

/4 /4

5 = M

Now we aren't done after finding out what M equals. We still need to know what each plan will cost. So, we substitute what M equals into the equation. if they both end up equaling the same thing then its equal. if you get two different numbers they aren't. it would look like this:

25 + 8(5) = 5 + 12(5)

25 + 40 = 5 + 60

65 = 65

They are equal. Both plans will cost 65 dollars.