Teresa wants to buy a new cell phone. She wants to get a phone with a good text message plan. She is deciding between Verizon and AT&T. Verizon charges a monthly fee of $25 and $0.05 per text message. AT&T charges a monthly fee of $15 and $0.10 per text message. After how many text messages will the costs be the same? Which company should she choose if she sends 100 text messages per month?

9514 1404 393

Step-by-step explanation:

The cost of the AT&T plan for m messages is ...

  a(m) = 25 +0.05m

The cost of the Verizon plan for m messages is ...

  v(m) = 15 +0.10m

The two plans have equal costs when ...

  a(m) = v(m)

  25 + 0.05m = 15 + 0.10m

  10 = 0.05m . . . . . . . . . . . . . . subtract 15+0.05 m from both sides

  200 = m . . . . . . . . . multiply both sides by 20

The plans have the same cost for 200 messages.

__

For fewer than 200 messages, the plan with the lower fixed fee is the better choice.

Teresa should choose the Verizon plan.

y = i/2 xtnop + (3i/2 tnop+ 1)

step-by-step explanation:

the picture is the step by step explanation.

1. 2

2. 11

3. 5

4. 6

5. 7

6. 5

7. -1

8. 1

step-by-step explanation: