your new cell phone plan has a monthly access fee of $28.72 with a flat rate of $0.31 per minute.if you want to keep your monthly bill under $40, how many minut

Question

your new cell phone plan has a monthly access fee of $28.72 with a flat rate of $0.31 per minute.if you want to keep your monthly bill under $40, how many minutes per month can you talk on your new cell phone

Answer 1

First always write an equation when doing story problems.  Let x equal the number of minutes used each month.

 

So the equation for your bill would be 28.72 (the monthly access fee) + 0.31 * x (the cost of the minutes used)

 

Now write the inequality so that the answer to the equation is less than $40

 

$40 > $28.72 + 0.31x

 

Next subtract 28.72 from 40

 

$40      > $28.72 + 0.31x

-28.72      -28.72

 

And you will get this equation

 

11.28 > 0.31x

 

Now solve for x by dividing both sides by 0.31

 

Remember you must use less minutes than x.  Because the bill must be less than $40.

Answer 2

Translating the words into an equation gives

 

 

28.72+.31*T=40.00  where T is the most time you can spend on the phone per month. Solving for T gives

 

T=(40-28.72)/.31= 36.39 min/month.

 

Jim

Answer 3

This really a question of the difference between your desired monthly bill & the required access fee:

28.72 + 0.31x < 40.00

0.31x < 40.00 - 28.72

x < 11.28/0.31

X < 36.387 minutes

Not a very good cell phone plan!