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

x+y=90

x=30-y=x

step-by-step explanation:

if you understand you will get the answer

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!