Question

Can someone help me work out this word problem, I need to write out all steps.
You need to choose between two telephone plans for local calls. Plan A charges $25 per month for unlimited calls. Plan B has a monthly fee of $13 with a charge of $0.06 per local call. How many local telephone calls in a month make Plan A the better deal?

Answer 1

Let's do this! Ready?

Answer 2

yes

Answer 3

:-)

Answer 4

i know that 200 calls makes the plans even

Answer 5

Incidentally, there's your answer. ;)

The reason:

Once the two plans are even, since the unlimited plan doesn't charge any more than $25, whereas the other plan still keeps charging, this means that 200 is the magic number.

Answer 6

i just dont know how to write out the equation for

Answer 7

Oh! Just set them equal to each other. ^_^

$25 = $13 + $.06x

The x is to say "number of calls"; so six cents per call.

Answer 8

25 = 0.06a +13

and solve for \[a= (25-13)/0.06\]

Answer 9

Do you know how to solve the equation Y=aX + b? where x is a variable

Answer 10

This is because we want to find the break even point, and setting two equations equal finds the equal point.

Of course, you can also simplify it to $12 = $.06x

And then simplify further by doing $12/$.06 = x

And that eventually turns into x = 200 calls.

Answer 11

ahhh I knew it would be easy.....

Answer 12

Thank you!

Answer 13

Yep; don't worry about it, I'm 23 and have been in college for quite a few years and I still had to stare at the problem for a lil while to figure out what I had to do. :P

And no problem; thanks for participating!