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Artemon [7]
3 years ago
5

50 POINTS

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

The answer is below

Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A:

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet  at a rate of 7.5 ft/s

Part B:

Between 2 and 4 seconds, the height stays constant at 75 feet.

Part C:

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s

Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.

Part D:

From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.

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The averages for each category can be calculated by taking the sum of the values and dividing by the number of values .                             
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wages                    <span>$2,100.00                $2,300.00                $2,000.00
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number of values = 3
average = 6400/3 = $ 2133.33
</span><span>2)
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</span><span>average = (101.25 + 89.75 + 80.00)/3
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water                           $20.10                     $22.30                     $24.55
</span><span>average = (20.10 + 22.30 + 24.55)/3
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car loan                     $172.54                   $172.54                   $172.54
</span><span>average = (172.54 + 172.54 + 172.54)/3
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</span><span>average = (200.25 + 220.70 + 205.50)/3 
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9)
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