Question

7. Cell phone plan A costs $30 per month for unlimited calling plus $0.25 per GB of data. Cell phone plan B

Answer 1

Answer:

Part a) The linear model that represents the monthly cost of each plan is

Plan A

$y=0.25g+30$

Plan B

$y=0.15g+40$

Part b) The plans cost the same for 100 GB of data

Step-by-step explanation:

Part a) Write a linear model that represents the monthly cost of each plan if the customer uses g GB of data

Let

g -----> the GB of data

y -----> the monthly cost

we know that

The linear equation that represent each plan is equal to

Plan A

$y=0.25g+30$ ----> equation A

Plan B

$y=0.15g+40$ ----> equation B

Part b) After how many GB of data will the plans cost the same?

Equate equation A and equation B and solve for g

$0.25g+30=0.15g+40$

$0.25g-0.15g=40-30$

$0.10g=10$

$g=100\ GB$

therefore

The plans cost the same for 100 GB of data