EXPLANATION
19)
Monthly subscription fee= $12.95/month
Game's price= $59.99
Slope is given by the formula
[tex]\text{Slope = }\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]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:
[tex]\text{Slope = }\frac{(72.94-59.99)}{(1-0)}=\frac{12.95}{1}[/tex]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
