two friends are trying to get the best deal on streaming service for movies. John chooses to sign up with Soupstream Streaming Service, which requires a one time sign up fee of $20 and charges 50 cents per movie watched. His friend Matt chooses Mo'data Streaming Service, because it has no sign up fee. However, the Mo'data Service charges $3 per movie.a. make a table of cost of the first five movies streamed from each service to track the cost for each other two friends. Explain how you calculated the cost. Graph the order pair for both services on the sign coordinate plane. Use correct units to label the axes.b.Write algebraic rules for each linear relationship to serve as a model for each situation. Explain what the vertical intercept means in the context of this situation, and discuss at least one way the linear model doesn't fit the actual streaming service plan

We take the ordered pair (movies,cost) and plot them on the graphical plane (and draw a smooth line connecting the points): [x axis is number of movies and y axis is total cost]

Table of Cost for first 5 Movies (Matt)

Movies Cost

0 0

1 3

2 6

3 9

4 12

5 15

We take the ordered pair (movies,cost) and plot them on the graphical plane (and draw a smooth line connecting the points): [x axis is number of movies and y axis is total cost]

b)

We can model each linear equation in the form:

y = mx + b

Where m is the slope (change in y by change in x) and b is the y-intercept (y-axis cutting point)

John (Soupstream Streaming)

y = mx + b

slope (m) is 0.5 (since for every x change, there is change of 0.5 in y)

y-intercept (b) is 20 (since graph starts at 20 and 20 is the fixed cost)

Thus,

y = 0.5x + 20

Matt (Mo'data Streaming)

y = mx + b

slope (m) is 3 (since for every x change, there is change of 3 in y)

y-intercept (b) is 0 (since graph starts at 0 and there is no fixed cost for no movies watched)

Thus,

y = 3x

For the first equation, the vertical intercept is "20", it means that even if John doesn't watch any movies, he still needs to pay $20.

For the second equation, we don't have any vertical intercept, it is 0. This means that Matt doesn't have to pay anything for the streaming service if he doesn't watch any movie.