Question

Hickory Cell Phones offers a plan that charges a monthly flat fee of $40 plus $0.10 per text message. Catawba Phone Company does not have a monthly fee but charges $0.25 per text message. What is the least number of text messages that can be sent in order for Hickory Cell Phone company to have the better buy and how much money do you save? Show your work and explain your answer.​

Answer 1

267 texts

Explanation:

let t be the number of text messages

Hickory Cell Phones charges

0.10t + 40

Catawba charges

0.25t

0.10t + 40 = 0.25t

40 = 0.15t

t = 266.66666...

t = 267

Money saved = Total cost with Catawba minus cost with Hickory

0.25(267) - 0.10(267) + 40

66.75 - 66.7

Money saved = $0.05