Question

The monthly texting plan of All Star Cell is $11 per month and $0.25 per text. The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text. A student wants to set up a system of equations to find the number of texts for which the total monthly cost of the two companies is the same. He uses the variables x and y. He lets y represent the total monthly cost. What will x represent?

Answer 1

The total monthly cost of the two companies will be the same for 30 texts.

Step-by-step explanation:

It is given that,

• The variables used here are x and y.
• y represent the total monthly cost.

we know that, x must represent the number of texts in a month.

The monthly texting plan of All Star Cell is $11 per month and $0.25 per text.

⇒ y = 11 + 0.25x   --------(1)

The monthly texting plan of Top Line Cell is $14 per month and $0.15 per text.

⇒ y = 14 + 0.15x  --------(2)

To find the no.of texts for which the total monthly cost of the two companies be the same :

⇒ Total cost of All Star Cell = Total cost of Top Line Cell

⇒ 11 + 0.25x = 14 + 0.15x

⇒ 0.25x - 0.15x = 14 - 11

⇒ 0.1x = 3

⇒ x = 3 / 0.1

⇒ x = 30 texts.

The total monthly cost of the two companies will be the same for 30 texts.