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lizz123
 one year ago
Medal
One cell phone plan charges 20 dollars per month plus 0.15 cents per minute used. A second cell phone plan charges 35 dollars per month plus 0.10 cents per minute used. Find the number of minutes you must talk to have the same cost for both calling plans.
lizz123
 one year ago
Medal One cell phone plan charges 20 dollars per month plus 0.15 cents per minute used. A second cell phone plan charges 35 dollars per month plus 0.10 cents per minute used. Find the number of minutes you must talk to have the same cost for both calling plans.

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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1the cost for the first phone is: \[{c_1} = 20 + 0.15 \times m\] where m is the number of minutes. Whereas the cost for the second phone is: \[{c_2} = 35 + 0.10 \times m\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now we have to know the number m of minute

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0\[c _{1}=20+.15\times1\] 20.15

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes! nevertheless we have to find the value of m. In order to that we see that the cost c_1 is equal to the cost c_2 when the subsequent equation holds: \[\begin{gathered} {c_1} = {c_2} \hfill \\ 20 + 0.15 \times m = 35 + 0.10 \times m \hfill \\ \end{gathered} \]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1please solve that equation for m

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1if you want you can do a chart. We can get the answer if we solve that equation for m

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large 20 + 0.15 \times m = 35 + 0.10 \times m\]

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0C1=20+0.15*3= 20.45 C2=20+0.10*3= 20.330

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0So I have to find the same answer for the same time of minutes

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1ok! Please substitute m=100, what do you get?

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge c _{1}=20+.15 * 100 = 35\]

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge c _{2}= 35 +.10 * 100=45\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1ok! So they are different again. I think that the solution is m=300. Am I right?

lizz123
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge c _{1}= 20 + .15*300= 65\] \[\huge c _{2}=35+.10*300=65\] Yes, m does equal 300.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1perfect! So you can do your chart, using the subsequent values for m: 1, 20, 50, 100, 300 for example
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