algrebra word problem help?
you are choosing between two long distant telephone plans. Plan A has a monthly fee of 20$ with a charge of $0.05 per minute for all long distant calls. Plan B has a monthly fee of $5 with charge of $0.10 per minute for all long distant calls
A. for how many minutes of long distance calls will the costs for the two plans be the same ? what will be the cost for each plan?
B. if you make approximately 10 long distances calls per month, each averaging 20 minutes, which plan should you select explain the answer.
how do i set up this problems i am having trouble solving this type of word problems the answers is plan A= (300min $35) and plan B is it will vary
Comments
A)
20 + .05x = 5 + .10x
Solve for x
Put 200 in for x into each equation
A = 20 + .05x
B = 5 + .10x
See which one is less.
You let x = the number of minutes and determine an equation for each scenario (Plan A & Then, since you want to know for how many minutes the cost of the plans will be equal, you set the two equations up so that they are equal and solve. Like this:
Plan A = $20 + .05 (x)
Plan B = $5 + .10(x)
20 + .05x = 5 + .10x (Solve for x)
-5 -5
_____________
15 + .05x = .10x
- .05x - .05x
____________
15/.05 = .05x/.05
300 = x
When 300 minutes of long distance calls are made the cost of the two plans will be equal. The bill will be $35 for 300 minutes in either plan.
CHECK: $20 + .05(300) = $5 + .10(300)
20 + 15 + 5 + 30
35 = 35
If 10 calls lasting 20 minutes each are made in one month the total minutes used that month are 20 x 10 = 200
Plan A: $20 + .05(200) =
20 + 10 = $30
Plan B: $5 + .10(200) =
5 + 20 = $25
If only 200 minutes are used per month, Plan B is cheaper by $5.
P.S. When setting up your equations think about what is known, or what is "fixed", in this case the monthly fees are fixed but the cost per minute varies - that's why you use the number of minutes as your unknown (x).
You're taking one dollar amount and adding another dollar amount that will fluctuate depending on the variable. You'll see a lot of problems like this one. GOOD LUCK!!
plan A=20+.05m
plan B=5+.10m
for the plans to be equal:
plan A=plan B means 20+.05m=5+.10m
which is 15=.05m
so m=15/.05=1500/5=300
so at 300 min the plans are the same.
if you make 10 LD calls per month, at 20 minutes apiece, thats 200 minutes.
plan A at 200 LD minutes is 20+.05(200)=20+10=30 dollars
plan B at 200 LD minutes is 5+.10(200)=5+20=25 dollars
so plan B would benefit you.
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