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.
Okay so let’s start by figuring what the total number of people is. To get that we add 24 and 30.
24+30= 54
So we have a total of 54 people.
Now, how many children are there?
30 children... which means the ratio is 30:54
Thirty children to fifty four people total at the museum.
Hope this helps!
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Answer:
27
Step-by-step explanation:
If you are looking to find the probability of choosing a blue or red marble, the answer is 9/10 or 90%.
We develop the equation for each of the tracks that will be walked through by Jill and Lori.
Jill: y - 2 = ((2 - -4)/(4 - -2))(x - 4) ; y = x - 2
Lori: y - 6 = ((-4 - 6)/(4 - -1))(x + 1); y = -2x + 4
The intersection of these equation is (2,0).
