The cable company has two plans:
Plan 1- Flat fee of $45 a month
Plan 2- $15 a month plus 45 cents per minute
What two equations would you use to graph the two plans?
After how many minutes does it not make a difference which plan you use?
Let Y be the monthly cost in dollars, and t the totl minutes of all calls in one month
Plan 1: Y1 = 45
Plan 2: Y2 = 15 + 0.45 t
That's two equations.
Set Y1 = Y2 to solve for the t that makes the charges equal.
2x+6x
To graph the two plans, we can first let 'x' represent the number of minutes used.
Plan 1 has a flat fee of $45, so the total cost 'y' for Plan 1 can be represented by the equation:
y = 45
Plan 2 has a base fee of $15 plus an additional charge of 45 cents per minute. So, the total cost 'y' for Plan 2 can be represented by the equation:
y = 15 + 0.45x
To find the number of minutes after which it doesn't make a difference which plan you use, we need to find the point where the two equations intersect. This means we need to find the value of 'x' where the costs for both plans are equal.
Setting the equations equal to each other:
45 = 15 + 0.45x
Simplifying the equation, we get:
0.45x = 30
Dividing both sides by 0.45, we find:
x = 66.67
Therefore, after approximately 67 minutes, it doesn't make a difference which plan you use as the costs will be the same.