Stuck in problem!
this graph shows the value (in dollars) of a car stereo at time t (in years) the time t=0 represents when the stereo was purchased.

a. what does the y-intercept mean in terms of the problem? include the time and the value of the stereo in your answer.

b. what does v(5)=98 mean in terms of the problem?

c. is the graph increasing or decreasing? what does this mean in terms of the problem?

See explanation!

Step-by-step explanation:

We are given a graph that shows the value (in dollars) of a car stereo at time t (in years) the time t=0 represents when the stereo was purchased.

A. What does the y-intercept mean in terms of the problem? Include the time and the value of the stereo in your answer.

The graph given shows an exponential expression with a y-interept at

dollars.

This denotes that the initial value of a car stereo at year 0 (i.e. when it first entered the market) was at 300 dollars.

B. What does V(5)=98 mean in terms of the problem?

Looking at the graph for , we know that we are looking at a point equal to .

This denotes that at year , the car stereo value was dollars. Thus since the stereo entered the market the value of the car stereo has decreased by over ≈ 202 dollars.

C. Is the graph increasing or decreasing? What does this mean in terms of the problem?

The graph is Exponentially Decreasing suggesting that as the year increase, the value of the car stereo is quickly decreasing by larger amounts and not in a linear manner (i.e. the value does not decrease by the same amount every year).

it would rotate about 180 degrees.