Plan A no initial fee and $75 per month Plan b $50 per Month for the first 12 months and 125 per month for each additional month after that, what is the equation?
a = 75x
b =
50x for x <= 12
50*12+125(x-12) for x > 12
To find the equation that represents these two plans, let's break it down step by step and assign variables to the important values.
Plan A: No initial fee and $75 per month.
Plan B: $50 per month for the first 12 months and $125 per month for each additional month.
Let's assign variables:
Let x represent the number of months.
For Plan A, the equation is simply:
Cost of Plan A = $0 (initial fee) + $75 (per month) * x (number of months)
Cost of Plan A = 0 + 75x
Cost of Plan A = 75x
For Plan B, the equation will depend on the number of months. If the number of months is less than or equal to 12, the cost will be $50 per month. If the number of months is greater than 12, the cost will be $125 per month.
If x ≤ 12 (number of months is less than or equal to 12):
Cost of Plan B = $50 (per month) * x (number of months)
Cost of Plan B = 50x
If x > 12 (number of months is greater than 12):
Cost of Plan B = $50 (per month) * 12 (months) + $125 (per month) * (x - 12) (number of additional months)
Cost of Plan B = 600 + 125(x - 12)
Cost of Plan B = 125x - 600
Combining the two cases, the equation for Plan B is:
Cost of Plan B = 50x (if x ≤ 12)
Cost of Plan B = 125x - 600 (if x > 12)
So, the equation representing the two plans is:
For Plan A:
Cost of Plan A = 75x
For Plan B:
Cost of Plan B = 50x (if x ≤ 12)
Cost of Plan B = 125x - 600 (if x > 12)