6x+3=4x+9 can you guys explain this for me
2 answers:
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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
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 , 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.
<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 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).