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saul85 [17]
4 years ago
13

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

Mathematics
1 answer:
Lesechka [4]4 years ago
7 0

Answer:

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

<em>Plan A</em>

y=0.25g+30

<em>Plan B</em>

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

<em>Plan A</em>

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

<em>Plan B</em>

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

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