A telephone company has a choice of two plans. Plan A - $30 per month and $.05 per phone call and Plan B - $20 per month and $.10 per phone call. Which is the best plan for you?
I need to form two equations with the above, please help
20+.10(x)=B
30+.05(x)=A
Plan B would be best. Try putting in numbers for x to make sure your equation follows through!
wow you are a life safer..thank you so much..
To determine which plan is the best for you, we can create equations to calculate the cost under each plan based on the number of monthly phone calls. Let's denote the number of monthly phone calls as "x".
For Plan A, the cost consists of a fixed $30 monthly fee plus an additional charge of $0.05 per phone call. So the equation for Plan A's cost, C_A, would be:
C_A = $30 + $0.05x
For Plan B, the cost also includes a fixed $20 monthly fee, but the additional charge is $0.10 per phone call. Therefore, the equation for Plan B's cost, C_B, would be:
C_B = $20 + $0.10x
Now, in order to compare the two plans and determine which one is better, you need to consider your expected number of phone calls per month, denoted as "x". Plug this value into both equations to calculate the cost under each plan.
For example, if you expect to make 50 phone calls per month, you can substitute x = 50 into both equations:
C_A = $30 + $0.05(50) = $30 + $2.50 = $32.50
C_B = $20 + $0.10(50) = $20 + $5 = $25.00
In this case, Plan B would be the better choice since the cost for Plan B is lower ($25.00) compared to Plan A ($32.50) for 50 monthly phone calls.
By substituting different values for x, you can compare the costs under both plans for various numbers of monthly phone calls and determine which plan would be the most cost-effective for your specific usage.