Check Your Understanding

Question

Question
To be competitive, a new cell phone company decided to put out a new plan for customers. The new plan consists of a one-time flat fee of
and a monthly fee of
for the life of the plan. The plan can be modeled by the function
, where
is the cost of the plan after a given number of months,
. The graph of the function is shown.

What is the meaning of the point
?
Responses

At month
, the total cost paid by the customer is
.
At month 4, the total cost paid by the customer is 175 dollars.

At month
, the customer will owe
.
At month 4, the customer will owe 175 dollars.

At month
, the total cost paid by the customer is
.
At month 175, the total cost paid by the customer is 400 dollars.

At month
, the customer will owe
.
At month 175, the customer will owe 400 dollars.
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Answer 1

Based on the information provided in your question, it seems you are analyzing a function that models the cost of a cell phone plan over time.

The question specifically inquires about the meaning of the point, which is presumably (4, 175) based on the given responses.

To interpret this point, let's break down the various meanings associated with it:

• If the coordinate (4, 175) means that "At month 4, the total cost paid by the customer is 175 dollars," it implies that after four months of service, the customer has accumulated a total cost of $175.

The other options discussing amounts owed or referring to month 175 seem either irrelevant or implausible considering the typical billing cycle of a cell phone plan.

Thus, the response that best matches the context provided is: At month 4, the total cost paid by the customer is 175 dollars.