Question

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

Answer 1

Zach have to send 300 number of multimedia texts for the same cost in two packages.

Step-by-step explanation:

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

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

To frame the equations :

• Let x be the any amount of multimedia  texts are sent.
• Let y be the total cost for using the multimedia package.

Package A Equation :

Total cost = No.of text sent × cost per text.

⇒ y = x × 0.25

⇒ y = 0.25x

∴ The equation of package A is y = 0.25x

Package B Equation :

Total cost = (No.of text sent × cost per text) + Monthly fee

⇒ y = (x × 0.20) + 15

⇒ y = 0.2x + 15

∴ The equation of a package B is y = 0.2x + 15

Now, the question is about how many multimedia texts will Zach have to send each month for the two multimedia texting packages to be  the same cost.

⇒ equation of package A = equation of package B

⇒ 0.25x = 0.2x + 15

⇒ 0.25x - 0.2x = 15

⇒ 0.05x = 15

⇒ x = 15 / 0.05

⇒ x = 300

∴ Zach have to send 300 number of multimedia texts for the same cost in two packages.