Question

a cell phone company charges $45 per month for unlimited calls and $0.25 per text messages. another call phone company $0.15 per text messegaes and $70 per month for unlimited calls. write and solve an equation to evaluate the time the cost from both companies will be the same

Answer 1

you first start by making your equation: 45 +.25x = 70 +.15x. then subtract .15x from both sides. it should look like 45 +.10x = 70. subtract 45 from both sides then you get .10x = 25. divide 10 to both sides and you get 250. so the two companies will be the same at 250 texts.

Answer 2

After 250 text messages, both company costs will be the same.

The total cost for the first company is:

= Fixed amount per month + (Amount per text message x Number of text messages)

= 45 + (0.25 × x)

= 45 + 0.25x

The total cost for the second company is:

= 70 + (0.15 × x)

= 70 + 0.15x

The number of text messages that will make the cost the same can be found by equating the formulas:

45 + 0.25x = 70 + 0.15x

0.25x - 0.15x = 70 - 45

0.10x = 25

x = 25 / 0.10

x = 250 text messages

In conclusion, both company costs will be the same after 250 text messages are sent.

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