Question

Zach has a basic cell phone plan that does not include texting. He is going to add a multimedia texting package to his

cell phone plan. He has two choices of multimedia texting packages, A and B. Package A charges $0.25 per multimedia
text with no monthly fees for the multimedia texting package. Package B charges $0.20 per multimedia text, but has a
$15 monthly fee for the multimedia texting package.
Part A
Write an equation that represents the total cost for each multimedia texting package if any amount of multimedia
texts are sent. Be sure to define the variables you are using for your equation.
Define the variables:
Package A Equation:
Package B Equation:
Part B How many multimedia texts will Zach have to send each month for the two multimedia texting packages to be
the same cost? Use words, numbers, and/or symbols to justify your answer.
Show all Work

Answer 1

Package A is less expensive for Zach to send 250 multimedia texts each month.

Explanation:

Given that,

Zach plans to send 250 multimedia texts each month.

Package A charges $0.25 per multimedia text with no monthly fees.

Package B charges $0.20 per multimedia text, but has a $15 monthly fee.

We need to find out which package is less expensive for Zach to add the plan.

The cost of 250 multimedia texts by package A :

⇒ Number of texts × cost per text

⇒ 250 × 0.25

⇒ 62.5

∴ The package A charges $62.5 for 250 multimedia texts.

The cost of 250 multimedia texts by package B :

⇒ (Number of texts × cost per text) + monthly fee

⇒ (250 × 0.20) + 15

⇒ 50 + 15

⇒ 65

∴ The package B charges $65 for 250 multimedia texts.

The Package A charges $62.5 which is less than package B charge of $65.

Hence, package A is less expensive.