Question 672589
$35 per month and 5 cents per phone call (time does not matter). The second offer is $55 per month and 2 cents per call.
 


A cell phone company has offered you two different rates: 

a.

the first rate is ${{{35}}} per month and {{{5}}} cents per phone call (time does not matter) 

b.

the second offer is ${{{55}}} per month and {{{2}}} cents per call

Set up the inequality 

plan {{{A=35+0.05x}}} and plan {{{B=55+0.02x}}}, where {{{A<B}}}

let {{{x}}} be number of calls made per month, then we have

{{{35+0.05x <=55+0.02x}}}

{{{0.05x-0.02x <= 55-35}}}

{{{0.03x<= 20}}}

{{{x <= 20/0.03}}}

{{{x <= 666.66666666666666666666666666667}}}

{{{x <= 666.67}}}

when the calls are {{{less}}} than {{{666.67=667}}} plan {{{A}}} is better deal

when the calls are {{{greater}}} than {{{667}}} plan {{{B}}} is better deal