00 a unit then sales will increase by 62 thousand units a week a Create a

00 a unit then sales will increase by 62 thousand

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reduce the price by $25.00 a unit, then sales will increase by 6.2 thousand units a week. a. Create a linear demand function that outputs the price, p , of a DriedFig for an input of the number of units, x , that they want to sell a week. Round to two decimals. b. What is the domain for this function in the context of the situation? Round to the nearest whole number. c. What is the y intercept of the demand function and what does it represent in the context of the situation? d. What is the x intercept of the demand function and what does it represent in the context of the situation?
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10. The function ℎ(𝑡) = −16𝑡 2 + 128𝑡 + 2 outputs the height of a toy rocket measured in feet at time t seconds after it was launched. The graph of ℎ(𝑡) is shown below. a. Calculate the height of the rocket at time 2 seconds after launch. Check your answer with the graph. b. Calculate the height of the rocket at time 3 seconds after launch. Check your answer with the graph. c. Calculate the slope of the line that goes through the two points you found in part a and b. d. What are the units of this slope?
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e. What does that slope represent? f. How could this be represented on the graph of ℎ(𝑡) ? g. Calculate the slope of the line that goes through the points where ? = 2.0 and ? = 2.1 . This is the average velocity of the rocket from 2 seconds after launch to 2.1 seconds after launch. h. Calculate the slope of the line that goes through the points where ? = 1.9 and ? = 2.0 . This is the average velocity of the rocket from 1.9 seconds after launch to 2.0 seconds after launch. i. Calculate the slope of the line that goes through the points where ? = 2.0 and ? = 2.01 . This is the average velocity of the rocket from 2 seconds after launch to 2.01 seconds after launch.
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j. What do you think the velocity of the rocket was exactly 2 seconds after launch? k. How could that be represented on the graph of ℎ(𝑡) ?
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