Respuesta :
Answer:
After 49 months the total cost of the two systems will be equal.
Step-by-step explanation:
To Find: We need to find the number of months will the total cost of the two systems be equal
Solution:
For Satellite receiver:
Satellite receiver cost = $298.90
Monthly charge = $68.70
Let the Number of months be denoted by 'x'.
Now we can say that;
Total cost using Satellite receiver is equal to sum of Satellite receiver cost and Monthly charge multiplied by number of months.
framing in equation form we get;
Total cost using Satellite receiver = [tex]298.90+68.70x[/tex]
For Using Cable:
Monthly charge = $74.80
So we can say that;
Total cost using cable is equal to Monthly charge multiplied by number of months.
framing in equation form we get;
Total cost using cable = [tex]74.80x[/tex]
Now to find the number of months when both the cost will be the same so we will make both the equation equal we get;
[tex]298.90+68.70x=74.80x[/tex]
Combining the like terms we get;
[tex]74.80x-68.70x=298.90\\\\6.1x=298.90[/tex]
Dividing both side by 6.1 we get;
[tex]\frac{6.1x}{6.1}=\frac{298.90}{6.1}\\\\x=49[/tex]
Hence After 49 months the total cost of the two systems will be equal.
