Question

Carly wants to add texting to her cell phone plan. She has two choices in texting packages. The TURKEY plan charges $.15 per text and a $20 monthly fee. The GOBBLE plan charges $.20 per text but has no monthly fee.
Part A

Write an equation that represents the total cost for each texting package, the TURKEY and the GOBBLE packages, if any amount of texts are sent. Be sure to define the variables you are using for your equation.


Define the Variables
Turkey Plan Equation
Gobble Plan Equation

Part B

How many texts will Carly have to send each month for the two packages to be the same cost? Use words, numbers, and/or symbols to justify your answer.

Carly believes she will send 500 texts each month. Which texting package would be less expensive package for Carly to add to her cell phone plan? Show all work using words, numbers, and or symbols to justify your answer.

WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER

Answer 1

TURKEY 0.15xy+20y

GOBBLE 0.20xy+0y

x is the number of texts and y is the number of months

400 texts will need to be sent each month because solving the equation 0.15xy+20y=0.20xy+0y

0.15xy+20y=0.20xy

-0.05xy+20y=0

-0.05xy=-20y

turn -0.05xy into (-y/20)x

(-y/20)x=-20y

((-y/20)x=-20y)/-y/20

x=-20y/-y/20

x=400

TURKEY plan because 0.15(500)y+20y is 95y and 0.20(500)y+0y is 100y, meaning TURKEY would be cheaper.