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Diano4ka-milaya [45]
3 years ago
13

HELP! STUCK IN PROBLEM!

Mathematics
1 answer:
masha68 [24]3 years ago
7 0

Answer:

See explanation!

Step-by-step explanation:

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

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

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

V_{(t=0)} = 300 dollars.<em> </em>

<em>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. </em>

<em />

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

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.

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

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).

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