4. The function $D(t)$ shown below represents Sally's distance from home over a 30-minute time period. Distance from home (miles) 20+ 18- 16- 14- 12- 10- 8- 6 4 2- +5 10 15 20 25 30 Time (minutes) a. Identify the vertical intercept of $D(t)$. Write it as an ordered pair and explain its meaning in this situation. b. Identify the horizontal intercepts of $D(t)$. Write them as an ordered pairs and explain their meaning in this situation. c. Determine $D(15)$ and interpret its meaning in a complete sentence. d. For what value of $t$ is $D(t) = 5$? Write a sentence explaining the meaning of your answer
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The vertical intercept is the point where the graph of D(t) intersects the y-axis. To find it, we set t = 0 in the equation D(t) = 20 + √(11t) + 1/(11t) + 10. D(0) = 20 + √(11(0)) + 1/(11(0)) + 10 D(0) = 20 + 0 + 0 + 10 D(0) = 30 So, the vertical intercept is Show more…
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