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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?

Respuesta :

calculista

Answer:

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

Plan A

[tex]y=0.25g+30[/tex]

Plan B

[tex]y=0.15g+40[/tex]

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

[tex]y=0.25g+30[/tex] ----> equation A

Plan B

[tex]y=0.15g+40[/tex] ----> 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

[tex]0.25g+30=0.15g+40[/tex]

[tex]0.25g-0.15g=40-30[/tex]

[tex]0.10g=10[/tex]

[tex]g=100\ GB[/tex]

therefore

The plans cost the same for 100 GB of data

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