Question

HELP! STUCK IN PROBLEM!

Answer 1

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

$V_{(t=0)} = 300$ 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 $V(5)=98$, we know that we are looking at a point $(x,y)$ equal to $(5,98)$.

This denotes that at year $t=5$, the car stereo value was $98$ 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 $t$ 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).