Question

A cell phone provider offers a plan that costs ​$40 per month plus ​$0.20 per text message sent or received. A comparable plan costs ​$70 per month but offers unlimited text messaging. Complete parts a. and b. below.

Answer 1

Answer:

a. 150 messages, b. We will chose plan A as it is cheaper tha plan B

Step-by-step explanation:

Here is the complete question: A cell phone provider offers a plan that costs ​$40 per month plus ​$0.20 per text message sent or received. A comparable plan costs ​$70 per month but offers unlimited text messaging. Complete parts a. and b. below.

a. How many text messages would you have to send or receive in order for the plans to cost the same each month?

b. If you send or receive and average of 50 text message each month, which plan would you choose? why?

Given: Plan A, monthly cost= $40 fixed + $0.20 per text message.

           Plan B, monthly cost= $70 with unlimited text message.

Lets take "x" be the number of text message per month sent or receive.

a. As per part a question, we need to find number of text message to make total cost equal for both the plan.

∴ we can set the equation to solve.

$\ 40+ \ 0.20x= \ 70$

Subtracting both side by 40

⇒$\ 0.20x= \ 30$

∴ $x= 150$

150 text message would you have to send or receive in order for the plans to cost the same each month.

b. We need to compare the cost for both the plan.

Plan A= $\ 40+ 0.20x$

Plan B= $\ 70$

As given, if 50 message sent or receive.

Lets subtitute the 50 text message for "x".

Plan A= $\ 40+ \ 0.2\times 50$

⇒Plan A= $\ 40+ \ 1= \ 41$

∴ Plan A cost= $ 41

 Plan B cost= $ 70

∴ We will chose plan A as it is cheaper tha plan B