Answer:
Part a) The linear model that represents the monthly cost of each plan is
<em>Plan A</em>

<em>Plan B</em>

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>
----> equation A
<em>Plan B</em>
----> 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
Answer:
You can proceed as follows:
Step-by-step explanation:
First solve the quadratic inequality
. To do that, factorize, then we have that
. This implies that

or

In the first case the solution is the empty set
. In the second case the solution is the interval
. Now we have that
![A=[1,4]](https://tex.z-dn.net/?f=A%3D%5B1%2C4%5D)

.
To show that
consider
. Then
, this implies that
, then
. Now, to show that
consider
, then
, then
, then
, this implies that
.
Observe the image below.
Step-by-step explanation:

Answer:
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Step-by-step explanation:
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