As part of a school project, a group of high school students conducted an experiment to understand the relationship between the
height a parasail can attain and the speed of the motorboat that tows it. The table records the height of the parasail at different speeds. Speed of Motorboat (miles per hour) Height of Parasail Above Water Surface (feet) 12.5 5 14.5 10 16.5 15 18.5 20 20.5 25 22.5 30 Analyze the data table and complete the following sentences. The dependent variable is , and the independent variable is . For every of 1 mph in the motorboat's speed, the parasail can fly higher.
2 answers:
Answer:
A. The dependent variable is Height of the Parasail above water, and the independent variable is Speed of the Motorboat.
B. Thus, for every increase of 1 mph of speed, the parasail can fly higher feet.
Step-by-step explanation:
The table representing the height of the Parasail above water at different speed is,
Speed of the motorboat (mph) Height of the Parasail (feet)
12.5 5
14.5 10
16.5 15
18.5 20
20.5 25
22.5 30
The table gives the height of the Parasail for different speeds.
Thus, the value of the height depends on the speed of the motorboat.
A. The dependent variable is Height of the Parasail above water, and the independent variable is Speed of the Motorboat.
Also, for every increase of 2 mph of speed, the height increases by 5 feet.
B. Thus, for every increase of 1 mph of speed, the parasail can fly higher feet.
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Number of solutions: no roots
Type of solution: Not Real
Step-by-step explanation:
We need to identify the number of solutions and their types using the discriminant.
We are given:
Rearranging:
Discriminant can be found by:
where b=-40, a=10 and c=41
Putting values:
So, Discriminant is -40
If the discriminant is less than zero i.e -40 then there are no real roots.
So, Number of solutions: no roots
Type of solution: Not Real
Keywords: discriminant
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