7. cell phone plan a costs $30 per month for unlimited calling plus $0.25 per gb of data. cell phone plan b
costs $40 per month for unlimited calling plus $0.15 per gb of data.
a) write a linear model that represents the monthly cost of each plan if the customer uses g gb of data.
b) after how many gb of data will the plans cost the same?

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

Plan A

Plan B

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

----> equation A

Plan B

----> 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

therefore

The plans cost the same for 100 GB of data