When will the plans be even

Question

Plan A charges $5 for the month plus $0.05 per text message. Plan B charges $8 a month and $0.02 per text message. After how many text messages with the plans cost the sam

Answer 1

Hi Jasmine,

Step One: Define Let Statements

Let x=the number of text messages

Step Two: Create an Equation

5+0.05x=8+0.02x Rearrange 

0.05x-0.02x=8-5 Combine Like Terms

0.03x=3 Divide both sides by 0.03

x=100

∴At 100 text messages, the two plans will cost the same.

Best, 

Starlyte H.

Answer 2

Jasmine,

 

For plan A

y = .05x + 5 

where x is the number of text messages and y is the total monthly charge.

 

Similarly for plan b

y = .02x + 8

 

If we set them equal to one another, we can solve for x and determine the number of text messages that will result in the same cost under either plan.

 

.05x + 5 = .02x + 8

.03x = 3

x = 100

 

The two plans will cost the same for 100 texts.