Question

The graph below models the value of a $20,000 car t years after it was purchased.

Value of Car

A graph titled Value of Car has years on the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Each car value, y, is associated with exactly one time, t.
Each time, t, is associated with exactly one car value, y.
The rate at which the car decreases in value is not constant.
There is no time, t, at which the value of the car is 0.

Answer 1

Answer:

This is an incomplete question

Answer 2

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Understanding Concept:

The question says, “Which statement best describes why the value of the car is a function of the number of years since it was purchased?”, which means we need to tell why the graph is a function.

Solution:

As we need to justify the graph for being a function, we remove the last 2 options as the graph isnt function bcoz of any of those reasons.The rate or the values doesn’t justify a graph being a function.

Now, from the rest 2 options we need to make sure which is our input and which is our output from cost(value) and time. As, time is our input and cost becomes our output, hence option B,Each time, t, is associated with exactly one car value, y., is our answer.

=>b) Each time, t, is associated with exactly one car value, y.

HOPE IT HELPS!!!