Question

A cell phone company offers two types of service. With the Anytime Plan, you can make an unlimited number of calls for $39.99 a month. With the Basic Plan you will pay $22.99 a month plus $0.08 per minute on all calls after the first 300 minutes. At least how many minutes of calls per month would you have to make before the Anytime Plan will cost less?


500

503

509

513

Answer 1

system of linear equations

Answer 2

well thats great...but its no help at all. k thanks?

Answer 3

Well, it's a system of linear equations. We need to figure out which two equations we are given from the problem.

Answer 4

HINT: One of them is a horizontal line, and the other has a positive slope.

Answer 5

ok.nvm. ive been working all day. i give up.

Answer 6

Probably not a good idea to give up. Got any ideas of what the equations are?

Answer 7

Otherwise, I could just write it as an inequality in one variable.

Answer 8

dude im like dead right now. i really rather just quit.

Answer 9

this is my LAST question.....how bout u just give me the answer and we call it a day? sound good? :DD

Answer 10

no, I can't do that. Giving answers is not cool.

Answer 11

I can, however, highlight important parts of the problem.

Answer 12

ok. that works too..

Answer 13

unlimited number of calls for $39.99 a month
$22.99 a month plus $0.08 per minute on all calls after the first 300 minutes.

Answer 14

The second equation is actually not a straight line. But no worries,

Answer 15

after the first 300 minutes.
so we get 300 minutes free right?

Answer 16

ok. so after they waste the 300 mins, they start to get charged 22.98...why do we get free minutes?

Answer 17

Well, it's a closer model to real life, where a company only charges you extra if you spend too many minutes.

Answer 18

ok. so thats kinda all i got :/

Answer 19

Alright. So we have for the first plan, 39.99, right? The second plan is a little more complicated, but we can reduce it to something simpler

Answer 20

like what?xP

Answer 21

The second plan looks like this
$22.99 if minutes=<300
$22.99+0.08x if minutes >300

Answer 22

The graph will look like this
a straight line for the first 300, and a increasing line for anything after 300

Answer 23

ok...BUt in the question it asks At least how many minutes of calls per month would you have to make before the Anytime Plan will cost less? BUT WHY WOULD IT COST LESS AT ALL? if the second plan is more expensive?

Answer 24

well. let me graph the first plan