Answer:
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
[tex]V_{(t=0)} = 300[/tex] 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 [tex]V(5)=98[/tex], we know that we are looking at a point [tex](x,y)[/tex] equal to [tex](5,98)[/tex].
This denotes that at year [tex]t=5[/tex], the car stereo value was [tex]98[/tex] 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 [tex]t[/tex] 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).
