Question

30 Directions - For the following scenario, answer the questions: 19) A new MMORPG (Massive Multiplayer Online Role Playing Game) is coming out in the next month. It will have a monthly subscription fee of $12.95 per month along with the purchase of the original game at $59.99. A) Create a slope intercept equation to model the situation: B) Find the total cost of the game at the following time intervals: > After 1 month After 6 months After 1 year $ S

Answer 1

EXPLANATION

19)

Monthly subscription fee= $12.95/month

Game's price= $59.99

Slope is given by the formula

`\text{Slope = }((y_2-y_1))/((x_2-x_1))`

We can see that:

$59.99 represents the y-intercept:

Then, in 1 month the monthly fee is $12.95, so we can assevere that in the first month the bill will be:

$59.99 + $12.95 = $72.94

Here we have the two pairs:

Initial situation-------> Only purchase cost-----> ( 0.0 , 59.99)

First month---------> Purchase cost + subscription cost -------> ( 1.0 , 72.94)

Now, let's call (x1,y1) --------> (0.0 , 59.99) [Purchase]

(x2,y2)-------> (1.0 , 72.94) [Monthly fee]

The slope will be:

`\text{Slope = }((72.94-59.99))/((1-0))=(12.95)/(1)`

The slope is 12.95.

Then, given slope=m=12.95 and y-intercept=b=59.99 the line equation is:

y=mx + b

Replacing terms:

y = 12.95x + 59.99

Answer A) The slope-intercept equation is y=12.95x + 59.99.

B) Total game cost at following intervals:

1 month-------> y=12.95(1) + 59.99

y= $72.94

Total cost at 1 month = $72.94

6 months------> y = 12.95(6) + 59.99

y= 137.69

Total cost at 6 months = $137.69

1 year=12 months----> y= 12.95(12) + 59.99

y=215.39

Total cost at 12 months = $215.39