Question

A cell phone provider charges $30 each month to have a cell on their plan, but their talk and text are not free. It costs $0.05 for every minute of talk and $0.10 for every text sent. There is no charge for receiving texts.
a. Write an algebraic expression that represents the monthly costs of the plan, given t represents the number of minutes and x represents the number of texts sent for each month.

b. How much would the plan cost for each of the scenarios below? Talk (mins) Texts Sent Total Cost 100 50 124 26 75 75 80 95 50 100 c. Is it wiser to talk more and spend fewer texts or talk less and send more texts?

Explain.

Answer 1

Answer:

30+0.10x+0.05t

talk more than text

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

a). Monthly charge of the phone provider = $30

Charges for text messages = $0.10

If we do x text messages then charges for text messages = $0.10x

Charges for voice calls = $0.05 per minute

For t minutes of the voice calls = $0.05t

Therefore, the monthly charges of the cell phone will be = $30 + $0.10x + $0.05t

= 30 + 0.05(2x + t)

b). Now we have to complete the table by calculating the total cost of the plan.

Talk time  Texts sent             Total cost

100                 50          30+0.05(2×50+100) = $40

124                 26           30+0.05(2×26+124) = $38.80    

75                   75           30+0.05(2×75+75) = $41.25

80                   95           30+0.05(2×95+80) = $48.50

100                100           30+0.05(2×100+100) =$45

c). Since cost of the text sent is $0.10 and for voice calls charges are $0.05 per minute.

So talk more than text.