Question

Task #1: Comparing Phone Plans Plus telecommunications offers a plan of $20 per month for an unlimited calling and data plan and 10 cents per text message sent. TalkMore, a competing company, offers a plan of $55.00 per month for an identical unlimited calling and data plan and five cents per text message. How can you determine which plan will be cheaper for you?

Answer 1

First company offers cheaper plane rate

Explanation:

First company:

Phone Plans Plus telecommunications offers a plan of $20 per month for an unlimited calling and data plan and 10 cents per text message sent

so,

fixed rental plan for unlimited calling is $20 per month

message rate is $0.10 per texts

Second phone company:

TalkMore, a competing company, offers a plan of $55.00 per month for an identical unlimited calling and data plan and five cents per text message

fixed rental plan for unlimited calling is $55 per month

message rate is $0.10 per texts

We can see that message rates are same for both

But unlimited calling rate is different

So, $20 per month rate is cheaper than $55 per month

So,

First company offers cheaper plane rate

Answer 2

Explanation:

First company offers a plan of $20 per month for unlimited calling and data plan plus 10 cents per text message.

Second company offers a plan of $55 per month for unlimited calling and data plan plus 5 cents per text message.

Let the messages to be done in a month = x

therefore, charges for a month = 0.10x

for plan B cost of x messages in a month will be = 0.05x

so, monthly charges for plan A with x messages = 20 + 0.10x

similarly for plan B charges = 55 + 0.05x

Both the plans will be same when

20 + 0.10x = 55 + 0.05x

0.10x - 0.05x = 55 - 20

0.05x = 35

x =
`(35)/(0.05)` = 700

For 700 messages both the plans will cost the same.

Below 700 messages (600 messages) we have to pay for plan A = 20 + 0.10×600 = 20 + 60 = $80

And For plan B charges = 55 + 0.05×(600) = 55 + 30

= $85

This reveals that below 700 messages Plan A will be cheaper than Plan B but above 700 messages Plan B will Be economical.