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.
Please help

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 :

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.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x