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alex41 [277]
3 years ago
16

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

er 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.
Mathematics
1 answer:
Zanzabum3 years ago
7 0

Answer:

The answer is that both plans are equal.

Step-by-step 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.

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Read 2 more answers
1. Whats the answer to <br> The function f(2) = 2x+5.
dimulka [17.4K]

Answer:

9

Step-by-step explanation:

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6 0
3 years ago
Match each system to the correct choice.
pogonyaev

Answer:

Option A - Neither. Lines intersect but are not perpendicular. One Solution.

Option B - Lines are equivalent. Infinitely many solutions

Option C - Lines are perpendicular. Only one solution

Option D - Lines are parallel. No solution

Step-by-step explanation:

The slope equation is known as;

y = mx + c

Where m is slope and c is intercept.

Now, two lines are parallel if their slopes are equal.

Looking at the options;

Option D with y = 12x + 6 and y = 12x - 7 have the same slope of 12.

Thus,the lines are parrallel, no solution.

Two lines are perpendicular if the product of their slopes is -1. Option C is the one that falls into this category because -2/5 × 5/2 = - 1. Thus, lines here are perpendicular and have one solution.

Two lines are said to intersect but not perpendicular if they have different slopes but their products are not -1.

Option A falls into this category because - 9 ≠ 3/2 and their product is not -1.

Two lines are said to be equivalent with infinitely many solutions when their slopes and y-intercept are equal.

Option B falls into this category.

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2 years ago
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