Question

A cell phone provider offers a plan that costs ​$

30 per month plus ​$ 0.20  per text message sent or received. A comparable plan costs $60per month but offers unlimited text messaging. Complete parts a. and b. below. a. How many text messages would have to be sent or received in order for the plans to cost the same each​  month?

In order for the plans to cost the​  same, 150 text messages would have to be sent or received. ​(Simplify your answer. Type an integer or a​  decimal.) b. If you send or receive an average of 50 50 text messages each​  month, which plan would you​  choose? Why? The plan with ▼  because ▼  than?
text messages are sent or received each month.

Answer 1

Part a. is correct. It is 150.

Part b.
First plan: $30 + $0.20 per text
For 50 texts
$30 + 0.20 * 50 = $30 + $10 = $40
For 50 texts, the first plan costs $40

For 50 texts per month, the first plan is better because it costs only $40 instead of $60
Second plan: $60 no matter how many texts

Answer 2

a.150

Explanation:

We are given that a cell phone provider offers a plan that cots $30 per month plus $0.20 per text message sent or received.

A comparable plan costs $60 per month but offers unlimited text messaging.

a.If number of text messages sent or received =150

For I plan

Cost of one text message sent or received per month=$0.20

Cost of plan per month=$30

Costs of 150 text messages sent or received=
`0.20* 150=$30`

Hence, total costs of plan I =$30+$30=$60

But in II plan no charge for text message and cost of plan per month is $60

Hence, the text messages 150 would have to be sent or received in order for the plans to cost the same each month.

b.If number of text messages =50

Then the cost of messages in plan I=
`02.0* 50`=$10

Cost of plan I =$30

Total cost of plan I=30+10=$40

But in second plan no charge for text messaging and cost per month is $60.

Therefore, plan I is better than second plan.Because the cost of plan I is less than the cost of second plan per month.